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. Find out the average age of the team.
23 years
20 years
24 years
21 years
Explanation:
Let the average age of the team = x
=> Sum of ages of all 11 members/11 = x.
=> Sum of ages of all 11 members = 11x
Age of the captain = 26
Age of the wicket keeper = 26 + 3 = 29
Sum of the ages of 9 members of the team excluding captain and wicket keeper
=> 11x - 26 - 29 = 11x - 55.
Average age of 9 members of the team excluding captain and wicket keeper
=> (11x - 55)/9.
Given that,
=> (11x-55)/9 = (x-1).
=> 11x - 55 = 9x - 9.
=> 2x = 46.
=> x = 23.