The captain of a cricket team of 11 members is 28 years old and the wicketkeeper is 4 years older than him. If the ages of these two are excluded, the average age of the remaining players is two years less than the average age of the whole team. What is the average age of the team?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 21 years
The captain of a cricket team of 11 members is 28 years old and the wicket keeper is 4 years older than him = 28 + 4 = 32
the average age of the remaining players is two years less than the average age of the whole team
⇒ Let the sum of ages of 9 players of the team be x
⇒ (x/9) + 2 = (x + 28 + 32)/11
⇒ (x + 18) / 9 = (x + 60) / 11
⇒ 11x + 198 = 9x + 540
⇒ 2x = 342
x = 171
Average age of team = (x + 60) / 11
231/11 = 21 years