Question

The average age of a group of 32 women is 60 years and that of another group of 40 men is 33 years. The average age of the two groups mixed together is:

• A. 42 years
• B. 45 years
• C. 48 years
• D. 45.5 years

Answer 1

Answer:

B. 45 years

We use weighted average.

Total age of women

$32 \times 60 = 1920$

Total age of men

$40 \times 33 = 1320$

Combined total age

$1920 + 1320 = 3240$

Total number of people

$32 + 40 = 72$

Mixed average

$\frac{3240}{72} = 45$

Final Answer:

45 years