Reena is twice as old as Sunita. Three years ago, Reena was three times as old as Sunita. What is present age of Reena?
Answer & explanation
Correct answer: option 4
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