Question

The average age of a husband and his wife at the time of marriage was 23 years. After 4 years of their marriage, a child is born. Find the average age of the family after 5 years of marriage.
1. 19 years
2. 18 years
3. 22 years
4. 21 years

Answer 1

Correct Answer - Option 1 : 19 years

Given:

The average age of a husband and his wife at the time of marriage = 23 years

Concept used:

Average = sum of elements/number of elements

Calculation:

Let the age of husband and wife at the time of marriage be H and W.

Then, H + W = 2 × 23 = 46

After 4 years they have a son.

So, after 5 years, their son will be 1 year old.

After 5 years, age of husband = H + 5

After 5 years, age of wife = W + 5

Sum of age of Husband and wife after 5 years = H + W + 10 = 56 years

Sum of the age of Husband, wife, and son after 5 years = 56 + 1 = 57 years

The average age of husband, wife, and son after 5 years = 57/3 = 19 years

∴ The required average is 19 years.