The captain of a cricket team of 11 members is 26 years old and the wicket keeper

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. 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?

  1. 22 years
  2. 23 years
  3. 24 years
  4. 25 years

Answer

Let average age of team = x

Average age of 9 players (excluding captain and wicket keeper) = x-1

Age of captain = 26 years

Age of wicket keeper = 26 + 3 = 29 years

Equating total ages of 11 players:

9(x-1) + 26 + 29 = 11x

x = 23 

The correct option is B.