Question

Sudha is twice as old as Radha. If 6 years is subtracted from Radha's age and Sudha's age is increased by 4 years, then Sudha's age will be four times that of Radha. What will be the ages of Sudha and Radha, 2 years ago from today?
1. 30 years and 14 years
2. 26 years and 12 years
3. 34 years and 20 years
4. 30 years and 16 years

Answer 1

Correct Answer - Option 2 : 26 years and 12 years

Given:

Sudha is twice as old as Radha

Calculation:

Let Radha's age be 'x' years

and Sudha's age be 'y' years

y = 2x

⇒ 4(x − 6) = (y + 4)

⇒ 4(x − 6) = 2(2x + 4)

⇒ 4x − 24 = 2x + 4

⇒ 2x = 28

⇒ x =14 years

y = 2x =28 years

2 years ago Radha was 12 years & Sudha was 26 years.

∴ The ages of Sudha and Radha, 2 years ago from today were 12 years and 26 years