The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older than him . If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

see full answer

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

23 years

24 years

Data inadequate

25 years

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Age of the captain is $26$ years, and the age of wicket keeper is $29$ years

The average of age of remaining 9 players is one year less than the average age of the whole team

Let the average ag of remaining 9 players is $x$

Hence,

$x = \frac{9 x + 26 + 29}{11} - 1$

Multiply both sides with 11 and then simplify

$\begin{array}{rcl} 11 x & = & 9 x + 55 - 11 \\ 2 x & = & 44 \\ x & = & 22 \end{array}$

Therefore, the average age of the team is $\frac{9 (22) + 55}{11} = 23$

Watch 3-min video & get full concept clarity