The average age of a husband and wife was 23 years when they were married 5 years ago. The average age of the husband, the wife and child who was born during the interval is 20 years. How old is the child now
A. 4 years B. 9 months C. 3 years D. 2 years
Correct Answer: A
Explanation
If the average age of the husband and wife was 23 years, 5 years ago, the sum of the ages as at then \(=23 \times 2=46\) yearst present, the sum of their ages will be 46 years \(+10\) years \(=56\) years Let the age of the child be \(x\). Since the average age of the husband, wife and the child is 20 years, we have: \begin{array}{l} \frac{56+x}{3}=20 \\ 56+x=60 \\ x=(60-56) \text { yeas }=4 \text { years } \end{array}