Question : The average age of a husband, the wife, and the child 2 years ago was 28 years and the average age of the husband and the child 5 years ago was 21 years. What is the present age of the wife?
Option 1: 38 years
Option 2: 40 years
Option 3: 36 years
Option 4: 42 years
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Correct Answer: 38 years
Solution :
The average age of a husband, the wife, and the child 2 years ago was 28.
So the present average age of the husband, the wife, and the child = 28 + 2 = 30
The average age of the husband and the child 5 years ago was 21 years.
So the present average age of husband and child = 21 + 5 = 26
Total age of husband, wife, and child at present = 30 × 3 = 90
Total age of husband and child at present = 26 × 2 = 52
Age of wife at present = 90 – 52 = 38 years
Therefore, the present age of the wife is 38 years.
Hence, the correct answer is 38 years.
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