Correct Answer - Option 2 : 12 years
Given:
Reena is twice as old as Sunita. Three years ago, she was three times as old as Sunita.
Calculation:
Let, the age of Sunita be x years.
Then, the age of Reena is 2x.
3 years ago the age of Sunita was (x - 3) years
3 years ago the age of Reena was (2x - 3) years
Accordingly,
(2x - 3) = 3 × (x - 3)
⇒ 2x - 3 = 3x - 9
⇒ 3x - 2x = - 3 + 9
⇒ x = 6
The present age of Sunita is 6 years
The present age of Reena is 2 × 6 = 12 years.
∴ Reena is 12 years old now.