Question

There are 10 people in a family: the average age of the 2 grandparents is 64 years; the average age of 2 uncles is 42 years; the average age of the 2 aunts is 38 years and the average age of 4 cousins is 16 years. What is the average age of the family members?

• A. 32.8
• B. 40
• C. 35.2
• D. None of these

Hint:

When calculating the average, first find the total sum of the ages and then divide it by the total number of individuals in the group.

Answer 1

The Correct Option is C

Let the total age of the grandparents, uncles, aunts, and cousins be as follows:
- Total age of 2 grandparents = \( 64 \times 2 = 128 \)
- Total age of 2 uncles = \( 42 \times 2 = 84 \)
- Total age of 2 aunts = \( 38 \times 2 = 76 \)
- Total age of 4 cousins = \( 16 \times 4 = 64 \)
Total age of all family members = \( 128 + 84 + 76 + 64 = 352 \).
The total number of family members = 10.
Therefore, the average age is:
\[ \frac{352}{10} = 35.2 \] So, the average age of the family members is \( 35.2 \) years.