Question

The present age of Hari’s mother is four times the present age of Hari. After 10 years, their ages will add to 80 years. Find their present ages.

• A. 10, 40
• B. 12, 48
• C. 15, 45
• D. 9, 36

Answer 1

The correct option is B 12, 48

Let Hari’s age be $x$
Then, his mother’s present age = $4x$
After 10 year Vinay’s age = $x+10$

After 10 years, his mother’s age = $4x+10$
Sum of Hari and Hari's Mother's age after 10 years = 80
$\Rightarrow x+10+4x+10=80$

$\Rightarrow 5x+20=80$
$\Rightarrow 5x=60$

$\Rightarrow x=12$
$\Rightarrow 4x=48$

$\therefore$ Hari’s age 12 years and his mother’s age 48 years.