Reena is twice as old as Sunita. Three years ago, Reena was three times as old as Sunita. What is present age of Reena?

12

The correct answer is Option (4) → 12

Let the present age of Sunita = x years.
Then Reena's present age = 2x (since Reena is twice as old as Sunita).

Three years ago:

$\text{Reena's age} = 2x – 3$

$\text{Sunita's age} = x – 3$

Given: Three years ago, Reena was three times as old as Sunita:

$2x - 3 = 3(x - 3)$

$2x - 3 = 3x - 9$

$3x - 9 - 2x + 3 = 0$

$x−6=0⟹x=6$

So Sunita’s present age = 6 → Reena’s present age = 2x = 12