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. $19$
• B. $23$
• C. $29$
• D. $28$

Answer 1

The correct option is A

$19$

Correct option:(a)$19$

Let $x$ be the age of husband and $y$ be the age of wife.

Given that the average age $=23years$

So,

$$\begin{gathered} \frac{x+y}{2}=23 \\ \Rightarrow x+y=23\times 2 \\ \Rightarrow x+y=46 \end{gathered}$$

Total age of husband and wife after five years $=46+5+5$

$$\begin{gathered} =46+10 \\ =56 \end{gathered}$$

Age of child $=1year$

So total age of family members $=56+1=57$

We know that,

$Averageage=\frac{totalage}{numberofpersons}$

$$\begin{gathered} =\frac{57}{3} \\ =19 \end{gathered}$$

Thus, The average age of the family now is$19years$

Hence option (a) is the correct option.