Arjun is the captain of his football team and the goal keeper is 4 years older than Arjun. If average age of the whole team is 2 year greater than the average age of remaining team players (excluding captain and goal keeper) that is 22, find the age of captain and goal keeper.

Arjun is the captain of his football team and the goal keeper is 4 years older than Arjun. If average age of the whole team is 2 year greater than the average age of remaining team players (excluding captain and goal keeper) that is 22, find the age of captain and goal keeper. Correct Answer 31, 35

Let the age of Arjun is k years, so age of goal keeper is (k + 4)

Average age of team = (Total age of all the team players) / (No. of team players)

⇒ (22 + 2) = (22 × 9 + k + k + 4)/11

⇒ 264 = 202 + 2k

⇒ 2k = 62

⇒ k = 31 years = Arjun’s (captain) age 

And, Age of Goal keeper = k + 4 = 31 + 4 = 35 years

Related Questions