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Reena is twice as old as Sunita. Three years ago, she was three times as old as Sunita. How old is Reena now?
1. 6 years
2. 12 years
3. 8 years
4. 7 years

1 Answer

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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.

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