Question

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

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

Answer 1

The correct option is B

15 years, 45 years

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

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

Sum of Vinay and Vinay's Mother's age after 5 years = 70

$\Rightarrow x+5+3x+5=70\Rightarrow 4x+10=70\Rightarrow 4x=60\Rightarrow x=15\Rightarrow 3x=45$

$\therefore \text{Vinay’s age is 15 years and his}$$\text{mother’s age is 45 years.}$