The average age of 15 players in a hockey team is the same as it was 4 years ago because 5 players, whose current average age is 28 years, were replaced by 5 new players. What is the average age of the newcomers?
Show answer & explanation
Correct answer: A
Explanation
Total number of players = 15
Average age of the 5 original players = 28 years
5 new players have joined the team.
The team's average age is the same as it was 4 years ago.
Since the team's average age remains the same as it was 4 years ago,
this implies that the current total age—due to the presence of the 15 players—is lower by 4 × 15 = 60 years compared to what it would have been had the original 5 players remained.
Total age of the original 5 players = 5 × 28 = 140 years
Total age of the 5 new players = 140 − 60 = 80 years
Average age of the new players = 80 / 5 = 16 years