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Embark on a strategic journey to conquer age-based problems on ratios with our dedicated resource designed for WBP Constable Exam aspirants. In the dynamic landscape of competitive exams, the ability to navigate through age-related mathematical challenges is crucial. This comprehensive guide not only demystifies the complexities of age-based problems but also equips candidates with efficient techniques to tackle ratio-related questions.

Aspirants will delve into practical examples, gaining a nuanced understanding of the intricate relationship between ages and ratios. This resource, tailored specifically for the WBP Constable Exam, serves as a compass for aspirants seeking precision in their problem-solving skills. Elevate your numerical acumen, build confidence, and lay a robust foundation for success in the WBP Constable Exam through our insightful guide on age-based problems and ratios.

This is the second part of the 'Ratios and Proportions' Series. So, if you haven't read the <a href="https://www.thedhronas.com/blog/learn-the-basics-of-ratios-and-proportions-for-wbp-constable-exam" target="_blank">Basics of Ratios and Proportions</a>, read that first by clicking the embedded link.

Problems based on ages generally consist of information of ages of two or more people and their correlation with each other in the past or present or future. Problems are very easy to solve if we understand them.

<h2 id="content-id-1702303210237-0">Age Based Problems</h2>

Age-based problems in quantitative aptitude test your ability to solve problems involving the ages of different individuals. These problems often involve relative ages, age differences, age ratios, and time spans. Here are some common types of age-based problems in quant:

1. Age Difference Problems:

These problems involve finding the difference in age between two or more individuals. They often require you to set up equations based on the information provided and solve for the unknowns.

E.g. A is 5 years older than B. If A is 20 years old, how old is B?

2. Age Ratio Problems:

These problems involve working with the ratios of the ages of different individuals. They often require you to apply proportional reasoning and manipulate the ratios to solve for missing information.

E.g. The ratio of the ages of A and B is 3 : 4. If A is 15 years old, how old is B?

3. Age Progression Problems:

These problems involve finding the ages of individuals at different points in time. They require you to calculate the age changes based on the time elapsed and the given information.

E.g. A was 10 years old 5 years ago. How old is A now?

4. Age Comparison Problems:

These problems involve comparing the ages of different individuals based on given information. They require you to carefully analyze the information and draw logical conclusions.

E.g. A is older than B, and B is older than C. Who is the youngest?

5. Age Mixture Problems:

These problems involve finding the average age of a group of individuals or the ages of individuals in a mixture based on their individual ages and proportions. They require you to apply weighted average calculations or ratio methods.

E.g. The average age of a group of 10 students is 15 years old. A new student joins the group, increasing the average age to 15.5 years. How old is the new student?

As clear from the title itself, we will discuss only the 2nd type here i.e. Age Ratio Problems.

<h2 id="content-id-1702303210240-1">Age Based Problems on Ratios</h2>

Age ratio problems in quantitative aptitude tests require meticulous attention and deft manipulation of ratios to solve for unknown ages. These problems, commonly encountered in aptitude assessments, test your ability to apply proportional reasoning and algebraic knowledge to practical scenarios involving the ages of individuals.

To successfully navigate these challenges, it's crucial to understand the key concepts involved. Ratios express the relative sizes of two or more quantities, and proportional reasoning allows you to leverage these relationships to derive unknowns. Additionally, age progression refers to the changes in age an individual undergoes over time, which plays a crucial role in many age ratio problems.

<img alt="Age Based Problems" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Age Based Problems.webp" style="height:200px; width:400px">

<h2 id="content-id-1702303210240-2">Basic Rules for problem based on Ages</h2>

Rule 1: If the ratio of present ages of A and B is x : y and n years ago, the ratio of their ages was p : q, then

(kx - n)/(ky - n) = p/q,

where k is a constant.

E.g. The ratio of the ages of A and B at present is 3 : 1. Four years earlier, the ratio was 4 : 1. Find the present age of A.

Sol: Let the present ages of A and B be 3x and x years respectively.

Now, Four years ago, the ages of A and B = (3x - 4) and (x - 4) years respectively.

⇒ (3x - 4)/(x - 4) = 4/1

Doing cross multiplication,

(3x - 4) = 4 × (x - 4)

⇒ 3x – 4 = 4x - 16

⇒ 16 - 4 = 4x - 3x

⇒ x = 12

⇒ Present age of A = 3x = 3 × 12 = 36 years (Ans.)

E.g. The ratio between the ages of A and B is 3 : 5 and the sum of their ages are 56 years. The ratio between their ages 7 years ago was?

Sol: Age of A = 3/(3 + 5) × 56 = 3/8 × 56 = 21

⇒ Age of B = 56 – 21 = 35

⇒ 7 years ago, age of A and B was = (21 – 7), (35 – 7) = 14, 28

⇒ Ratio = 14/28 = 1/2 (Ans.)

We can do this calculation in mind too by taking less than a minute and save time for other questions.

Rule 2: If the ratio of present ages of A and B is x : y and after n years, the ratio of their ages will be p : q, then,

(kx + n)/(ky + n) = p/q,

where k is a constant.

E.g. At present, the ratio of the ages of Maya and Chhaya is 6 : 5 and fifteen years from now, the ratio will change to 9 : 8. Find the present age of Maya.

Sol: Let the present ages of Maya and Chhaya be 6x and 5x years, respectively.

After 15 years, (6x + 15)/(5x + 15) = 9/8

⇒ 8 × (6x + 15) = 9 × (5x + 15)

⇒ 48x + 120 = 45x + 135

⇒ 48x - 45x = 135 -120

⇒ 3x = 15

⇒ x = 5

⇒ Present age of Maya = 6x = 6 × 5 = 30 years (Ans.)

The problems that we get in our WBP Constable Exam from this topic are a combination of both the rules that we have just studied. They also involve some concepts and knowledge of how to solve linear equations (that we will discuss in algebra).

Let us look at few examples and if you are now confident about this section, just try these questions by yourself before looking at my solution. Some of these questions were asked in the WBP Constable Exam. So, please take this section very seriously.

<h2 id="content-id-1702303210240-3">Examples on Age Based Problems for Better Understanding</h2>

E.g. The present age ratio of X and Y is 3 : 4. 5 years ago their age ratio was 5 : 7. What is the present age of Y? [WBP Constable 2019]

Sol: Let the present age of X and Y be 3x and 4x. 5 years ago,

⇒ (3x - 5)/(4x - 5) = 5/7

⇒ 21x - 35 = 20x - 25

⇒ x = 10

Present age of Y = 40 years (Ans.)

E.g. The sum of the present ages of father and son is 100 years. 5 years ago if their age ratio is 2 : 1, what will be their age after 10 years? [WBP Constable 2019]

Sol: Let the ages of father and son 5 years ago be 2x and x.

Present ages: 2x + 5, x + 5

So, 

⇒ 2x + 5 + x + 5 = 3x + 10 = 100

⇒ x = 30 years

After 10 years their ages would be: 2x + 15, x + 15

⇒ 75 years, 45 years (Ans.)

E.g. Sum of the present age of A and B is 55 years. 10 years ago the ratio of their ages was 4:3. What is the present age of A and B? [WBP Constable 2019]

Sol: Let, the present age of A = X and B = Y.

10 years ago the ratio of their age is 4 : 3.

The sum of their present age is:

X + Y = 55

⇒ X = 55 - Y

Accordingly, 

(X - 10)/(Y - 10) = 4/3

⇒ 3X - 30 = 4Y - 40

⇒ 3X - 4Y = -10

Putting the value of X in this, we get,

⇒ 3 × (55 - Y) - 4Y = -10

⇒ 165 - 3Y - 4Y = -10

⇒ 7Y = 175

⇒ Y = 25

⇒ X = 30

So the present age of A and B are 30 and 25 respectively. (Ans.)

In conclusion, "Learn to Solve Age-Based Problems on Ratios" emerges as an indispensable tool for aspirants preparing for the WBP Constable Exam. This meticulously crafted resource not only imparts clarity on age-related mathematical intricacies but also instills confidence in candidates to adeptly handle ratio-based questions. Aspirants, having navigated through practical examples and honed their problem-solving skills, are now equipped with a nuanced understanding crucial for success in the competitive exam.

The strategic insights gained from this guide lay a robust foundation, allowing candidates to approach age-based problems with precision and efficiency. By embracing this resource, aspirants fortify their numerical prowess and enhance their readiness to tackle the WBP Constable Exam, demonstrating not only competence in ratios but also a comprehensive grasp of mathematical concepts essential for success in this competitive examination.

So, this is all for today. In our next blog, we will discuss the problems on Partnership for WBP Constable Exam. Till then, stay tuned!

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Learn and Practice the concept of Age based problems.

Learn to Solve the Age Based Problems on Ratios for WBP Constable Exam

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When aiming to crack the government exams, finding the right coaching institute can make all the difference. Siliguri, a rapidly growing educational hub in Siliguri, offers several top-notch coaching centers that provide comprehensive training for government aspirants. In this blog, we will explore Dhronas, the Best coaching in Siliguri, highlighting their unique features, faculty expertise, and success rates to help you make an informed decision on your journey to becoming a civil servant. With its experienced faculty, tailored study programs, and a proven track record of producing top-rankers, the Dhronas has become a trusted name for those serious about their preparation. Let's delve into what makes the Dhronas the Best Coaching in Siliguri. <img alt="Best Coaching in Siliguri" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Best_Coaching_in_Siliguri.webp" style="height:338px; width:600px"> [Source: The Dhronas] <h2 id="content-id-1730035938746-0">Best Coaching in Siliguri - About The Dhronas</h2> The Dhronas, founded by Raja Bhattacharjee, Aloke Banerjee, Amit Kumar Das, and Pravin Chettri, is West Bengal's leading online and offline coaching platform, offering an affordable and comprehensive learning experience for graduates and soon-to-be graduates aspiring for government jobs. With over 10 years of experienced faculty, the Dhronas has successfully guided more than 1,000 students, providing them with an extensive practice platform to excel in competitive exams and secure top ranks. The Dhronas has earned praise for its strong dedication to quality education. By keeping batch sizes small, with only 25 students, the institute ensures personalized attention for each student. Located strategically in Siliguri, the Dhronas has become a top choice for students seeking a transformative learning experience. <h2 id="content-id-1730035938755-1">Best Coaching in Siliguri - Why Choose The Dhronas</h2> Are you ready to embark on a journey towards success in the government exam? Look no further, because the Dhronas in Siliguri stands as the leading light that directs aspiring individuals towards success. At the Dhronas, we take pride in offering a diverse range of services. These services are meticulously designed and delivered with utmost dedication to excellence. Whether it be educational, professional, or personal development, the Dhronas strives to be your trusted partner on your journey to success. <ul> <li>One-to-One Mentorship: Our Mentorship Sessions play a crucial role in ensuring that every student comprehensively grasps the subject matter, leaving no room for uncertainties or doubts. Through these sessions, our goal is to help you develop a deep and thorough understanding that goes beyond basic knowledge, enabling you to truly master the subject matter.</li> <li>Daily Practice Sessions: We adhere to the principle that "practice leads to perfection," and our curriculum aligns with this philosophy. Our technologically advanced platform is designed to offer students the most effective analysis and support.</li> <li>Personalized Study Material: We offer study materials that cater to each student's needs. Recognizing that a one-size-fits-all approach may not yield optimal results, our study materials are carefully optimized to cater to students at various levels of preparation.</li> <li>Weekly Sessions: Regular weekly interactions with students are prioritized to ensure ongoing motivation and effective grooming of the students.</li> </ul> Enrolling in the Best Coaching in Siliguri is not just a decision; it's a commitment to your own success. Come join us on this exciting journey as we aim to set new standards for coaching in the eastern region of India. <h2 id="content-id-1730035938755-2">Best Coaching in Siliguri - Study Material</h2> Still unsure whether to join the Dhronas, the Best Coaching in Siliguri? By the end of this segment, you'll be convinced after learning about everything the Dhronas has to offer. <ul> <li>Daily Current Affairs: Staying updated with current affairs is essential for the government exams. The Dhronas provides <a href="https://online.thedhronas.com/current-affairs">daily current affairs</a> updates, ensuring you never miss out on important news.</li> <li>Online Test Series: For a more structured preparation, you can purchase <a href="https://www.thedhronas.com/online-test-series">test series</a> that include hundreds of full-length tests and previous year papers, helping you to practice thoroughly.</li> <li>Live Quizzes: Test your readiness with instant live quizzes. The Dhronas' <a href="https://online.thedhronas.com/quizes">live quizzes</a> allow you to check your progress and identify areas for improvement.</li> <li>Recorded Classes: Benefit from <a href="https://www.thedhronas.com/courses">recorded classes</a> that let you learn at your own pace, anytime and from anywhere, making your preparation flexible and convenient.</li> <li>Daily Dose: What is better than a daily dose of revision and practice? Keeping in mind the need for daily revisions, the Dhronas has its very own series of <a href="https://www.thedhronas.com/daily-dose">Daily Dose Practice series</a> which includes subjects like General Knowledge, Current Affairs, Important News Analysis, Special Questions, Quantitative Aptitude, Logical Reasoning, English Vocabulary, and English Language, available in English, Hindi and Bengali.</li> </ul> Additionally, to experience a demo class at the Dhronas, simply visit their <a href="https://www.thedhronas.com/">website</a> and register. Attending the demo class will help you assess the instructor's teaching style and methods, ensuring they align with your learning preferences. <h2 id="content-id-1730035938756-3">Best Coaching in Siliguri - Contact Details</h2> Are you unsure about how to get in touch with the Best coaching in Siliguri? Fear not, in this segment of the post, we will outline how to connect with the Dhronas and start your preparation journey. <ul> <li>Mobile 1: Reach out to the Dhronas at 8436900456</li> <li>E-mail: For inquiries, <a href="mailto:thedhronasofficial@gmail.com" target="_blank">thedhronasofficial@gmail.com</a></li> <li>Social Media: Connect on <a href="https://www.facebook.com/thedhronas2019">Facebook</a>, and <a href="https://www.youtube.com/channel/UCQjOKTg5TRWoeDtyFNqQBhw">YouTube</a></li> <li>Address: Visit the Dhronas, Hathi More, Ward 18, Subhas Pally, Siliguri, West Bengal 734001</li> </ul> Choosing the right coaching institute is a critical step in your government exam preparation, and Siliguri offers a range of excellent options to help you achieve your goals. Whether you're looking for experienced faculty, personalized study plans, or a supportive learning environment, the Dhronas, coaching in Siliguri, is equipped to provide you with the resources and guidance you need.

When aiming to crack the government&nbsp;exams, finding the right coaching institute can make all the difference. Siliguri, a rapidly growing educational hub in Siliguri, offers several top-notch coaching centers that provide comprehensive training for government&nbsp;aspirants. In this blog, we will explore Dhronas, the Best&nbsp;coaching in Siliguri, highlighting their unique features, faculty expertise, and success rates to help you make an informed decision on your journey to becoming a civil servant. With its experienced faculty, tailored study programs, and a proven track record of producing top-rankers, the Dhronas has become a trusted name for those serious about their&nbsp;preparation. Let&#39;s delve into what makes the Dhronas the Best&nbsp;Coaching in Siliguri.

<img alt="Best Coaching in Siliguri" src="https://www.thedhronas.com/admin/assets/uploads/ckeditor/Best_Coaching_in_Siliguri.webp" style="height:338px; width:600px" />

[Source: The Dhronas]

<h2>Best&nbsp;Coaching in Siliguri - About The Dhronas</h2>

The Dhronas, founded by Raja Bhattacharjee, Aloke Banerjee, Amit Kumar Das, and Pravin Chettri, is West Bengal&#39;s leading online and offline coaching platform, offering an affordable and comprehensive learning experience for graduates and soon-to-be graduates aspiring for government jobs. With over 10 years of experienced faculty, the Dhronas has successfully guided more than 1,000 students, providing them with an extensive practice platform to excel in competitive exams and secure top ranks.

The Dhronas has earned praise for its strong dedication to quality education. By keeping batch sizes small, with only 25 students, the institute ensures personalized attention for each student. Located strategically in Siliguri, the Dhronas has become a top choice for students seeking a transformative learning experience.

<h2>Best&nbsp;Coaching in Siliguri - Why Choose The Dhronas</h2>

Are you ready to embark on a journey towards success in the government exam? Look no further, because the Dhronas in Siliguri stands as the leading light that directs aspiring individuals towards success. At the Dhronas, we take pride in offering a diverse range of services. These services are meticulously designed and delivered with utmost dedication to excellence. Whether it be educational, professional, or personal development, the Dhronas strives to be your trusted partner on your journey to success.

<ul>
	<li>One-to-One Mentorship: Our Mentorship Sessions play a crucial role in ensuring that every student comprehensively grasps the subject matter, leaving no room for uncertainties or doubts. Through these sessions, our goal is to help you develop a deep and thorough understanding that goes beyond basic knowledge, enabling you to truly master the subject matter.</li>
	<li>Daily Practice Sessions: We adhere to the principle that &quot;practice leads to perfection,&quot; and our curriculum aligns with this philosophy. Our technologically advanced platform is designed to offer students the most effective analysis and support.</li>
	<li>Personalized Study Material: We offer study materials that cater to each student&#39;s needs. Recognizing that a one-size-fits-all approach may not yield optimal results, our study materials are carefully optimized to cater to students at various levels of preparation.</li>
	<li>Weekly Sessions: Regular weekly interactions with students are prioritized to ensure ongoing motivation and effective grooming of the students.</li>
</ul>

Enrolling in the Best&nbsp;Coaching in Siliguri is not just a decision; it&#39;s a commitment to your own success. Come join us on this exciting journey as we aim to set new standards for coaching in the eastern region of India.

<h2>Best&nbsp;Coaching in Siliguri - Study Material</h2>

Still unsure whether to join the Dhronas, the Best&nbsp;Coaching in Siliguri? By the end of this segment, you&#39;ll be convinced after learning about everything the Dhronas has to offer.

<ul>
	<li>Daily Current Affairs: Staying updated with current affairs is essential for the government exams. The Dhronas provides <a href="https://online.thedhronas.com/current-affairs">daily current affairs</a> updates, ensuring you never miss out on important news.</li>
	<li>Online Test Series: For a more structured preparation, you can purchase <a href="https://www.thedhronas.com/online-test-series">test series</a> that include hundreds of full-length tests and previous year papers, helping you to practice thoroughly.</li>
	<li>Live Quizzes: Test your readiness with instant live quizzes. The Dhronas&#39; <a href="https://online.thedhronas.com/quizes">live quizzes</a> allow you to check your progress and identify areas for improvement.</li>
	<li>Recorded Classes: Benefit from <a href="https://www.thedhronas.com/courses">recorded classes</a> that let you learn at your own pace, anytime and from anywhere, making your preparation flexible and convenient.</li>
	<li>Daily Dose: What is better than a daily dose of revision and practice? Keeping in mind the need for daily revisions, the Dhronas has its very own series of <a href="https://www.thedhronas.com/daily-dose">Daily Dose Practice series</a> which includes subjects like General Knowledge, Current Affairs, Important News Analysis, Special Questions, Quantitative Aptitude, Logical Reasoning, English Vocabulary, and English Language, available in English, Hindi and Bengali.</li>
</ul>

&nbsp;

Additionally, to experience a demo class at the Dhronas, simply visit their <a href="https://www.thedhronas.com/">website</a> and register. Attending the demo class will help you assess the instructor&#39;s teaching style and methods, ensuring they align with your learning preferences.

<h2>Best&nbsp;Coaching in Siliguri - Contact Details</h2>

Are you unsure about how to get in touch with the Best coaching in Siliguri? Fear not, in this segment of the post, we will outline how to connect with the Dhronas and start your preparation journey.

<ul>
	<li>Mobile 1: Reach out to the Dhronas at 8436900456</li>
	<li>E-mail: For inquiries, <a href="mailto:thedhronasofficial@gmail.com" target="_blank">thedhronasofficial@gmail.com</a></li>
	<li>Social Media: Connect on <a href="https://www.facebook.com/thedhronas2019">Facebook</a>, and <a href="https://www.youtube.com/channel/UCQjOKTg5TRWoeDtyFNqQBhw">YouTube</a></li>
	<li>Address: Visit the Dhronas, Hathi More, Ward 18, Subhas Pally, Siliguri, West Bengal 734001</li>
</ul>

Choosing the right coaching institute is a critical step in your government exam preparation, and Siliguri offers a range of excellent options to help you achieve your goals. Whether you&#39;re looking for experienced faculty, personalized study plans, or a supportive learning environment, the Dhronas, coaching in Siliguri, is equipped to provide you with the resources and guidance you need.