Question

The average age of a husband and his wife was $23$ years at the time of their marriage. After five years, they have a one-year-old child. The average age of the family now is

• A. $19$ years
• B. $23$ years
• C. $28.5$ years
• D. $29.3$ years

Answer 1

The correct option is A $19$ years

let the age of the wife be $w$ and

the age of the husband be $h$

Given that the average age of husband and wife is $23$

Therefore, $23=\frac{w+h}{2}$

$⟹w+h=46$ -----(1)

After five years age of the wife is $w+5$ and the

age of the husband after five years is $h+5$

Given that child age is $1$ year.

Therefore average age of the family is $\frac{(w+5)+(h+5)+1}{3}$

$=\frac{w+h+11}{3}=\frac{46+11}{3}=\frac{57}{3}=19$ years