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Aptitude

Tips and Tricks on Problems on Ages

Problems on Ages

The problems on ages can be easily solved using some simple tips and tricks. Given below are some Tips and Tricks to solve Problem on Ages 

  1. Classify the key phrases and arrange the information by assigning variables
  2. Select only one variable to solve the problem.
  3. If the information in the question comprises ages at different points of time, assume the present age as ‘x’
  4. If the information in the question comprises ages of different people, assume the age of the youngest person as ‘x’
  5. Read the question very carefully. The phrase ‘n time more than’ needs to be understood correctly.

These problems can be categorized into three types.

Type 1: Tips and Tricks to solve Problems on Ages Based on Present Age

Question 1. In the next 6 years, C will be double the age of D 6 years back. If at present C is 5 years elder to D, then find D’s present age.

Options

A. 32

B. 25

C. 23

D. 20

Solution :

Let D’s present age be x
Given, (x + 5) = C’s age
Given, (x + 5) + 6 = 2(x – 6)
= x + 11 = 2x – 12
x = 23

Correct option: C

Type 2: Tips and Tricks to solve Problems Based on Age Before K Years

Question 2. Bijay said to his daughter, “I was as old as you are today when you were born.” If Bijay's age is 35 today, then his daughter’s age 3 years ago was?

Options

A. 14

B. 19.5

C. 14.5

D. 20.5

Solution :

let Bijay's daughter age = z.
Given , 35 - z = z .
So, 2z = 35 , z = 17.5.
So, 3 yrs ago, daughter age will be 17.5 – 3 = 14.5.

Correct option: B

Type 3: Tips and Tricks to solve Problem Based on Age After K Years

Question 3. Mohan is four times the age of Disha. If after 3 years, she would be three times of Disha, then additional after 3 years, how many time would be her age of Disha ?

Options

A. 22

B. 3.5

C. 2

D. 3

Solution :

Let us assume Disha’s age as s and Mohan's age as 4s Given, 4s + 3 = 3(s + 3)
$\implies 4s + 3 = 3s + 9 $
$ s = 6 $
So, Disha’s age is 6 and Mohan’s age is 24.
Therefore, after 6 years Mohan’s will be 30 and Disha will be 12. Mohan will be 2.5 times elder.

Correct option: A