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Q.

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is

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a

35 years

b

40 Years

c

50 years

answer is D.

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Detailed Solution

Let $H, W, C$ are present ages of Husband, wife and child

Given

$\begin{array}{rcl} \frac{H + W + C - 9}{3} & = & 27 \\ H + W + C & = & 81 + 9 \\ = & 90 \end{array}$

Given

$\begin{array}{rcl} \frac{W + C - 10}{2} & = & 20 \\ W + C & = & 50 \end{array}$

Therefore, the present age of husband is $H = 90 - 50 = 40$

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The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is