Question

The average age of 8 persons in a committee is increased by 2 years when two men aged 35 years and 45 years are substituted by two women. The average age of these two women is

• A. 52 years
• B. 56 years
• C. 48 years
• D. 44 years

Answer 1

Answer: (C)

48 years

Answer 2

The total increase in age for the group is
\Rightarrow \;$$8 \times 2 = 16 \, \text{years}
The total age of the two men is
\Rightarrow \;$$35 + 45 = 80 \, \text{years}
Let the total age of the two women be $x$.
$\therefore$ The increase in total age is
\Rightarrow \;$$x - 80 = 16
\Rightarrow \;$$x = 80 + 16 = 96
The average age of the two women is:
\Rightarrow \;$$\frac{96}{2} = 48 \, \text{years}

Hence, the average age of the two women is 48 years.