The average age of a committee of 9 members increases by 3 years when two men aged 42 and 44 years are replaced by two women. What is the average age of these two women?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 56.5 years.
Let initial average age = A years
Total initial age = 9A
Let the total age of both women = x
Removed age = 42 + 44 = 86 years
(9A – 86 + x)/9 = A + 3
⇒ 9A – 86 + x = 9A + 27
⇒ x = 113
Average age of the two women = 113/2 = 56.5 years