Question

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?

• A. 50.5 years
• B. 46.5 years
• C. 56.5 years
• D. 60.5 years

Answer 1

Answer:

C. 56.5 years

The committee has 9 members.

When the two men are replaced, the average age increases by 3 years.

So, the total age increases by:

$9\times3=27\text{ years}$

The two men’s total age:

42+44=86

Therefore, the two women’s total age:

86+27=113
Average age of the two women:

$\frac{113}{2}=\boxed{56.5\text{ years}}$

Answer: 56.5 years