Average age of a cricket team reduces by 2 when two senior players aged 32 and 30 are replaced by 2

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The average age of a cricket team reduces by $2$ when two senior players aged $32$ and $30$ are replaced by $2$ youngsters of equal age. What is the age of these players?

A

$20$

B

$22$

C

$24$

D

$26$

Solution

A cricket team consists of $11$ players.

Let its average age be $x$, and age of replaced player be $y$.

$11 x-32-30+2 y=11(x-2)$

$i.e.$ $32+30-22=2 y$

$or$ $y=\frac{32+30-22}{2}=\frac{40}{2}=20$ years

Standard 13

Quantitative Aptitude

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