Question

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

• A. 15 years
• B. 25 years
• C. 45 years
• D. 55 years

Answer 1

The correct option is A 15 years

Let Pranay’s present age be $\text{x}$
His mother’s present age $\text{= 3x}$

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

Sum of Pranay and Pranay's mother's age after 5 years = 70

$⟹\text{x + 5 + 3x + 5 = 70}$
$⟹\text{4x + 10 = 70}$
$⟹\text{4x = 60}$
$⟹\text{x = 15}$

$\therefore$ The present age of Pranay is 15 years.