Question

At present, Mani is 4 times the age of Vaibhav. After 3 years, Mani will be 2 times as old as Vaibhav. What is the present age of Mani?

• A. 10 years
• B. 6 years
• C. 12 years
• D. 8 years

Hint:

Translate age statements into algebra and use future/past conditions to create solvable equations.

Answer 1

The Correct Option is B

Let Vaibhav's present age be $x$ years.
Then Mani's present age = $4x$ years.
After 3 years:
Vaibhav's age = $x + 3$
Mani's age = $4x + 3$
Given: $4x + 3 = 2(x + 3)$
$\Rightarrow 4x + 3 = 2x + 6$
$\Rightarrow 4x - 2x = 6 - 3$
$\Rightarrow 2x = 3 \Rightarrow x = 1.5$
So, Mani's present age = $4x = 4 \times 1.5 = 6$ years.