Question

$20$ years ago, when my parents got married, their average age was $23$ years, now the average age of my family, consisting of myself and my parents only is $35$ years. My present age is ,

• A. $34$ years
• B. $42$ years
• C. $24$ years
• D. $16$ years

Answer 1

The correct option is D $16$ years

Let my age be $x$ years. Sum of ages of my parents $20$ years ago$=46.$
Sum of present ages$=46+20+20=86$ ( since both mother's and father's ages increase by $20$ years each )
$=\frac{86+x}{3}=34$ or $x=16$ years.