Question

The present age of Vinay’s mother is three times the present age of Vinay. After 5 years, the sum of their ages will be 70 years. Find their present ages.

• A. 15 years, 45 years
• B. 10 years, 30 years
• C. 20 years, 60 years
• D. 18 years, 54 years

Answer 1

The correct option is A

15 years, 45 years

$\text{Let Vinay’s present age be x.}$

$\text{Then, his mother’s present age = 3x}$

$\text{After 5 years, Vinay’s age = x + 5}$

$\text{After 5 years, his mother’s age}=3x+5$

$\text{According to question,}$

$x+5+3x+5=70$

$\Rightarrow 4x+10=70$

$\Rightarrow 4x=60$

$\Rightarrow x=\frac{60}{4}$

$\Rightarrow x=15$

$\text{Vinay’s age =}x\text{= 15 years}$

$\text{His mother’s age =}3x\text{= 45 years}$