Correct option is (b) 22 years
Let the average age of the total team be x.
The team has 11 members.
Given that, age of the team captain is 25 years.
The wicket keeper age is 3 years older than captain
Therefore, wicket keeper age is 25 + 3 = 28 years.
Given that average age of the team excluding captain and wicket keeper is 1 less than the average age of the team.
Therefore, the average age of the team excluding captain and wicket keeper is x−1
⇒ \(x -1= \frac{\text{sum of 9 member's ages}}9\)
sum of 9 member's ages = 9(x − 1) ......(1)
The average age of the whole team is \( \frac{\text{sum of 9 member's ages + 25 + 28}}{11}\)
⇒ \(x = \frac{\text{sum of 9 member's ages + 53}}{11}\)
⇒ \(x = \frac{9(x - 1) + 53}{11}\) (from (1))
⇒ 2x = 44
⇒ x = 22
Therefore the average of the whole team is 22 years.
