Question : The average age of the husband, 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:
Option 1: 50 years
Option 2: 40 years
Option 3: 35 years
Option 4: None of the options.
Correct Answer: 40 years
Solution :
Three years ago, the sum of the ages of husband, wife, and child = 3 × 27 = 81 years
$\therefore$ Sum of the present age of husband, wife, and child = 81 + 3 × 3 = 81 + 9 = 90 years
Also, it is given that, Five years ago, the sum of the age of wife and child = 2 × 20 = 40 years
⇒ Present sum of age of wife and child = 40 + 5 × 2 = 40 + 10 = 50
$\therefore$ Present age of husband = 90 – 50 = 40 years
Hence, the correct answer is 40 years.
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