The average age of 8 men is increased by 2 years when two of them whose ages are 21 years and 23 years are replaced by two new men. Find the average age of the two new men.

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24 years

22 years

30 years

28 years

answer is D.

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Detailed Solution

Suppose that the average age of of 8 men was $x$

Given that average age of 8 men is increased by 2 years when two of them whose ages are 21 years and 23 years are replaced by two new men

$\begin{array}{rcl} \frac{8 x - 21 - 23 + a + b}{8} & = & x + 2 \\ 8 x - 44 + a + b & = & 8 x + 16 \\ a + b & = & 60 \end{array}$

Therefore, the average age of other two men is $\frac{60}{2} = 30$

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