Aptitude sums on ages

Here is a simple method to solve the problematic questions on ages sum!

Intoduction

Are you preparing for the competitive exams? These solved problems and tricks are useful for all the candidates who are preparing for their upcoming exams. Clear your doubts by following the solutions!!

The formulas which have been used in this sum are given in the previous blog

6. The sum of ages of family members (both children and parents) is 324 years. The total ages of children and parents are in the ratio 2 : 1 and the ages of wife and husband are in the ratio 4 : 5. What will be the age of husband?

Answer: 60 years

Explanation:

Given data,
Sum of their ages = 324

The ratio of children and parents ages is 2 : 1 Total ages of parents = 324 * (1 / 3)

= 108

The ratio of wife and husband ages is 4 : 5 Therefore, the age of husband = 108 * (5 / 9)

= 60 years

The age of husband is 60 years.

7.The ratio between the present ages of A and B is 7 : 8. If B is 4 years old than A. What will be the ratio of the ages of A and B after 4 years?

Answer: 8 : 9

Explanation:

Let A's age and B's age be 7x, 8x Then, 8x - 7x = 4

x = 4

Required ratio = (7x + 4) : ( 8x + 4 )

= (7 * 4 + 4) : ( 8 * 4 + 4 )

= 32: 36

= 8 : 9

The ratio of the ages of A and B after 4 years is 8 : 9.

8. The sum of ages of 6 children born at the intervals of 4 years each is 72 years. What is the age of the youngest child?

Answer: 2 years

Explanation:

Let the ages of children be x, (x + 4) , ( x + 8 ), ( x + 12 ), ( x + 16 ), ( x + 20 ) years. Then, x + x + 4 + x + 8 + x + 12 + x + 16 + x + 20 = 72

6x + 60 = 72

6x = 72 - 60

6x = 12

x = 12 / 6

x = 2

Then, age of the youngest child = x

= 2 years

Age of the youngest child = 2 years

9. Present ages of Somu and Vinoth are in the ratio of 9 : 2 respectively. Five years ago, the ratio of their ages will become 22 : 1 respectively. What is their present age in years?

Answer: 27 years, 6 years

Explanation:

Their present ages = 9x, 2x

5 years ago, Somu?s age = 9x - 5 5 years ago, Vinoth?s age = 2x - 5

Ratio of their ages 5 years ago = 22 : 1 (9x - 5)/ (2x - 5) = 22 / 1

1(9x - 5) = 22 (2x - 5)

9x - 5 = 44x - 110

44x - 9x = 110 - 5

35x = 105

x = 105 / 35

x = 3

Their present ages = 9 * 3, 2 * 3

= 27, 6

Their present ages = 27 years, 6 years

10. The age of the three persons is in the ratio 3 : 5 : 9. Four years ago, the sum of their ages is 39. Six years ago, what are their ages?

Answer: 3 years, 9 years, 21 years

Explanation:

The present ages of the three persons = 3x, 5x, 9x 4 years back, the sum of their ages = 39

4 years back, the ages of the three persons = (3x - 4), (5x - 4), (9x - 4) [From the given question, we can write]

3x - 4 + 5x - 4 + 9x - 4 = 39

17x -12 = 39

17x = 39 + 12

= 51

x = 51 / 17

= 3

The present ages of the three persons = (3 * 3), (5 * 3), (9 * 3)

= 9, 15, 27

6 years back, their ages = 9 - 6, 15 - 6, 27 - 6

= 3, 9, 21

6 years back, their ages = 3 years, 9 years, 21 years

Conculsion

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