# Problems on ages with solutions pdf | Problems on Ages for Quantitative Aptitude

(Last Updated On: October 2, 2021)
Problems on ages with solutions pdf : Problems on age is a common topic from which questions are asked in Quantitative Aptitude section in almost all government exams.

The questions in this section may seem confusing and complicated, but once the candidate grasps the concept well, he can easily score marks for these types of questions.

Candidates can check Quantitative Aptitude Syllabus, Sample Questions and Exams in which this section is covered in the linked article.

In this article, we will discuss in detail about the types of questions asked in various government exams along with tips and tricks that can help you solve the questions fast and efficiently. Candidates can also check some basic formulas to solve age-based questions below in this article.

Given below are some links that can help the candidates in preparing for the Quantitative Aptitude section for the upcoming competitive exams:

### Problems on age – concept and basics

The questions asked in the Quantitative Aptitude section based on age are kind of brain teasers which may seem complicated at first read, but become easy to answer when it is solved step by step.

Questions in this section are mostly asked for 2-3 marks but age-based questions are likely to be asked as a part of data adequacy or data interpretation. So it is important that the concept is clear to every candidate.

As the name suggests, the questions are word problems based on the age of the people. They can be asked in equation form or direct form.

### Tips and tricks for solving problems at age

Candidates who are not much familiar with the concept and either skip or give wrong answers to age problems can refer to the suggestions given below. These tips can help you answer the question following a set pattern and then find the answer.

Basic things like addition, subtraction, multiplication and division will help a candidate to reach the answer and no complicated calculations are required to answer such questions.
Arrange the given values ​​by assigning variables to the unknown values ​​and placing them correctly in the equation
Once the equation is created, solve the equation to find the answer.
The last step is to recheck the answer obtained by putting it in the equation to make sure that there is no error while calculating.

‘Age problem’ is one such topic which is asked not only in the first or preliminary stage of the exam but also questions from this topic can be asked in a complex manner in the main stage of the exam.

Candidates can check the detailed syllabus of various government exams at the link given below:

## important formula

Given below are some of the formulas related to age problems which can help in answering the questions quickly and also get a better idea of ​​the concept:

• If you are taking the present age as x, then the age after n years will be (x+n) years.
• If you are taking the present age as x, then the age before n years will be (x – n) years.
• If age is given as a ratio, for example, p:q, then age will be considered as qx and px
• If you are taking the present age to be x, then n times (x×n) years of the present age will be
• If you are assuming present age as x, then 1/n years of age will be equal to (x/n) years

The above mentioned tricks will help you to solve the equation easily and more efficiently.

### Sample Questions – Problems on Ages

The more questions a candidate solves, the more likely he is to grasp the concept and speed up his ability to answer age problems quickly without making mistakes.

Thus, to help the candidates, some sample problems on age questions along with their solutions are given below.

Q 1. The present ages of Aradhana and Adrika are in the ratio 3 : 4. 5 years ago, the ratio of their ages was 2 : 3. What is Aradhana’s present age?

1. Twelve years
2. 15 years
3. 20 years
4. 22 years
5. 10 years

Solution:

Let the present age of Aradhana be 3x. Is

Let Adrika’s present age be 4x. Is

5 years ago, Aradhana’s age = (3x-5) years

5 years ago, Adrika’s age = (4x-5)

According to the question, (3x-5): (4x-5) = 2:3

(3x-5) (4x-5) = 2/3

3(3x-5) = 2(4x-5)

9x-15 = 8x-10

x = 5

Hence, present age of Aradhana = 3×5 = 15 years

Q 2. If the total age of Iqbal and Shikhar is 12 years more than the total age of Shikhar and Charu. By how many years is Charu younger than Iqbal?

1. 11 years
2. 13 years
3. 15 years
4. none of these
5. cannot be determined

Answer: (4) None of the above

Solution:

Let Iqbal’s age be x. Is

Let y be the age of the peak

Let the age of Charu be z. Is

Then, as per the question,

(x+y) – (y+z) = 12

x+y-y-z = 12

X-Z = 12

Thus, Charu is 12 years younger than Iqbal

Q 3. A father is twice as old as his daughter. If 20 years ago the age of the father was 10 times that of the daughter, then what is the present age of the father?

1. 40 years
2. 32 years
3. 33 years
4. 45 years
5. 22 years

Solution:

Let the present age of the father be 2x. Is

Thus, the present age of the daughter = x

According to the question,

2x-20 = 10(x-20)

2x-20 = 10x – 200

8x = 180

x = 22.5

Thus, present age of father = 22.5 × 2 = 45 years

Q 4. Arun is 2 years older than Bharat who is twice as old as Charat. If the total age of Arun, Bharat and Charat is 27, then what is the age of Bharat?

1. 10 years
2. Twelve years
3. 15 years
4. 13 years
5. 11 years

Solution:

Let the present age of Charat be x. Is

Thus, present age of Bharat = 2x

And present age of Arun = 2+2x

According to the question,

x+2x+2+2x = 27

5x+2 = 27

5x=25

x=5

Thus age of Bharat = 2×5 = 10 years

Q 5. The sum of the ages of a daughter and a mother is 56 years; After four years the age of the mother will be three times that of the daughter. What is the age of daughter and mother respectively?

1. 12 years, 41 years
2. 12 years, 30 years
3. 11 years, 34 years
4. 12 years, 44 years
5. 21 years, 42 years

Answer: (4) 12 years, 44 years

Solution:

Let the mother’s present age be x years and the daughter’s present age be y years.

According to the question, x+y = 56 —- (1)

Mother’s age after 4 years = x+4

Daughter’s age after 4 years = y+4

Therefore,

x+4 = 3 (y+4) —- (2)

x+4 = 3y + 12

From Eqn. (1), we get, x = 56-y

Thus, putting the value of x in Eq. 2, we get

(56-y) + 4 = 3y + 12

60 – y = 3y + 12

y = 12

Hence, the present age of the daughter is 12 years.

Present age of mother = 56-12 = 44 years

Some more sample questions are given in the PDF below:

The above questions will help you understand how to formulate equations to solve the age problem questions and what type of questions can be asked from this topic.

Candidates who are preparing for upcoming government exams should prepare every topic equally well and for any help regarding study material or preparation tips, they can turn to Sarkari Results ERA’S.

*-Below are given some other links which can help the candidates in preparing for competitive exams: