Question

The average age of a husband and a wife, who were married 4 years ago, was 25 years at the time of their marriage, The average age of the family consisting of husband, wife and a child born during that interval is 20 years, today, The child is

• A. 1 years
• B. 2 years
• C. 2.5 years
• D. 3 years

Answer 1

The correct option is B 2 years

Given that, 4yrs. back, the average age of a couple=25yrs.

Then, the total==$25\times 2yrs.=50yrs.$

After 4yrs. the sum will increase by $4\times 2yrs.=8yrs.$

Let the child's age=xyrs.

Then the toal age of the family=(50+8+x)yrs=(58+x)yrs.

Then, by the given condition,

$\frac{58+x}{3}=20⟹58+x=60⟹x=2yrs.$

Ans- Option B.