The average age of husband, wife and child 7 years ago was 42 yea

The average age of husband, wife and child 7 years ago was 42 yea
| The average age of husband, wife and child 7 years ago was 42 years and that of wife and child 9 years ago was 36 years. The present age of the husband is:

A. 50

B. 55

C. 48

D. 57

Please scroll down to see the correct answer and solution guide.

Right Answer is: D

SOLUTION

7 years ago ; Average age of H , W and C = 42 years

Sum of ages of H +W + C = 42 × 3 = 126 years

At present the ages of them would have increased by 7 years

Present Sum of ages = 126 + 7 + 7 + 7 = 147 years …… (1)

Now, 9 years ago ; average of W and C = 36 years

Sum of ages of W & C = 36 × 2 = 72 years

Present sum of ages of W & C = 72 + 9 + 9 = 90 years …… (2)

Subtracting equation (1) from (2), we get

Age of husband = 147 – 90 = 57 years