The average age of a husband and wife, and their child 3 years ago, was 27 years, and that of the wife and the child 5 years ago was 20 years. The present age of the husband is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 40 years.
Average age of husband, wife, child 3 years ago = 27
So, (H - 3) + (W - 3) + (C - 3) = 27 × 3 = 81 ............(1)
Average age of wife and child 5 years ago = 20
So, (W - 5) + (C - 5) = 20 × 2 = 40 .............(2)
From first equation
⇒ H + W + C - 9 = 81
⇒ H + W + C = 90
From second equation
W + C - 10 = 40
W + C = 50
Husband's present age (H) = (H + W + C) - (W + C) = 90 - 50 = 40 years