The average age of a group of 11 men is 53 years. 2 men leave the group and the average age of the group increases by 1 year. What is the average age of 2 men who left the group?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 48.5 years.
The average age of these 11 men is 53 years, so the total age of all 11 men is:
⇒ Total age of 11 men = 11 × 53 = 583
The average age of the remaining 9 men increases by 1 year, making the new average 54 years.
⇒ Total age of 9 men = 9 × 54 = 486
⇒ Total age of 2 men who left = 583 - 486 = 97
⇒ Average age of 2 men who left = 97 / 2 = 48.5 years