Question

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

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

Answer 1

The correct option is B

15,45

Let Vinay’s present age be $x$

Then, his mother’s present age = $3x$

After 5 years, Vinay’s age = $(x+5)$

After 5 years, his mother’s age = $(3x+5)$
According to the question,

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

$x+3x=70-10$

$\Rightarrow 4x=60$

$\Rightarrow x=15$

Vinay’s age = $x$ = 15 years

His mother’s age = $3x$ = 45 years