Question

At the time of marriage, the average age of a couple was 22 years. If they had a child after 3 years, what would be the average age of the family?

• A. 15.5
• B. 16.6
• C. 19.1
• D. 18.9

Answer 1

Answer:

B. 16.6

The average age of the family at the time of the child's birth is 16.6 years.

1. Calculate the total age of the couple at marriage:

• Number of members = 2 (Husband and Wife)

• Average age = 22 years

• $\text{Total Age} = 22 \times 2 = 44\text{ years}$

2. Calculate their total age after 3 years (when the child is born):

• After 3 years, both the husband and wife will grow older by 3 years each.

• $\text{Total Age of the parents} = 44 + 3 + 3 = 50\text{ years}$

3. Add the child's age to the family total:

• At the time of birth, the newborn child's age is 0 years.

• $\text{Total Family Age} = 50 + 0 = 50\text{ years}$

4. Find the new average age of the family:

• Total family members now = 3 (Husband, Wife, and Child)

• $\text{Average Age} = \frac{\text{Total Family Age}}{\text{Number of Members}} = \frac{50}{3} = 16.66\text{ years}$