SSC CPO 2019 PYQ — Question 107

SSC CPO Tier I - 12th December 2019 - Shift 2 • Quantitative Aptitude • Q107

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 :

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 57

Application

Suppose the present ages of husband, wife and child are h, w and ch respectively:

[(h - 7) + (w - 7) + (ch - 7)]/3 = 42

⇒ h + w + ch = 126 + 21

⇒ h + w + ch = 147 .....i)

&

[(w - 9) + (ch - 9)] = 36

⇒ w + ch = 72 + 18

⇒ w + ch = 90 ......ii)

Now,

Put the value of eq(i) in eq(ii)

So,

h + 90 = 147

⇒ h = 147 - 90

⇒ h = 57