Question

The average age of eleven members of a cricket team reduces by 2 when two players of ages 30 and 32 leave the team and two new players of equal age join it. The age of each of the newcomers is ____.

• A. 20 years
• B. 62 years
• C. 12 years
• D. 22 years

Answer 1

The correct option is A 20 years

Let the age of each of the newcomers is $x$.

and let the average of the old team members age be $A$.

we can write following equations on the basis of provided information:

$S+30+32=11A\dots eqn\left(1\right)$

and $S+2x=11A-(2\times 11)\dots eqn\left(2\right)$

On subtracting equations, we get

$\Rightarrow 62-2x=22\Rightarrow 2x=40\Rightarrow x=20$