Question : The average age 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.
Option 1: 48 years
Option 2: 52 years
Option 3: 55 years
Option 4: 50 years
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Correct Answer: 52 years
Solution :
Given: The average age 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.
The total age of the 3 individuals 6 years prior is 38 × 3 = 114 years.
The current total age of all 3 individuals = 114 + (6 × 3) = 132 years.
The total age of Kishore's wife and child 8 years ago was 32 × 2 = 64 years.
The current combined age of the wife and child = 64 + (8 × 2) = 80 years.
The present age of Kishore = 132 – 80 = 52 years.
Hence, the correct answer is 52 years.
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