Question

The average ages of Kishore, his wife and their child 6 years ago was 38 years and that of his wife and their child 8 years ago was 32 years. Find the present age of Kishore.

• A. 48 years
• B. 52 years
• C. 55 years
• D. 50 years

Answer 1

Answer:

B. 52 years

Solution: Given: The average age of Kishore, his wife, and their child 6 years ago was 38 years The average age of Kishore's wife and their child 8 years ago was 32 years Concept used: Average = Sum of total observationsTotal number of observations Calculation: Sum of ages of all three members 6 years ago = 38 × 3 ⇒ 114 years ∴ Sum of ages of all three at present = 114 + (6 × 3) ⇒ 132 years Also, from given data Sum of ages of Kishore's wife and child 8 years ago = 32 × 2 ⇒ 64 years ∴ Sum of ages of wife and the child at present = 64 + (8 × 2) ⇒ 80years ∴ The present age of Kishore is 132 - 80 i.e 52 years