### The average age of husband and his wife was 23 years at the time of their marriage. After five tears they have a one-year old child. The average age of the family of three, when the child was born, was.

A. 23 years

B. 24 years

C. 18 years

D. 20 years

$\begin{array}{l}\text{According to the question,}\\ \begin{array}{l} \frac{H+W}{2}=23 \text { years } \\ \mathrm{H}+\mathrm{W}=46 \text { years…..(i) } \end{array}\end{array}$ As given in the question after five years they have a one-year old child. i.e., After 4 years of marriage child was born $\begin{array}{l}\text{∴ Average of (H + E + C)}\\ \begin{array}{l} =\Large\frac{46+8}{3}\\ =\Large\frac{54}{3}\\ =18 \text { years } \end{array}\end{array}$