Question

Three years ago, the average age of a husband, wife, and child was 26 years, and that of the wife and the child, 5 years ago, was 20 years. The present age of the husband is:

• A. 39 years
• B. 42 years
• C. 37 years
• D. 45 years

Answer 1

Answer:

C. 37 years

Solution: Given: Three years ago, the average age of a husband, wife, and child was 26 years Five years ago, the average age of wife and the child = 20 Formula: Average = Sum of all observations/Total number of observations Calculation: Three years ago, sum of age of husband, wife and child = 3 × 26 = 78 years Present sum of age of husband, wife and child = 78 + 9 = 87 years Five years ago, sum of age of wife and child = 2 × 20 = 40 years Present sum of age of wife and child = 40 + 10 = 50 ∴ Present age of husband = 87 - 50 = 37 years Shortcut Trick Present age of husband = 26 × 3 + 9 - (2 × 20 + 10) = 37 years ∴ Present age of husband is 37 years.