Correct Answer - Option 2 : 3 ∶ 4
Given:
The ratio of Kavita and Sunita 6 years ago = 3 ∶ 5
Sunita – Kavita = 8 years
Concept used:
The difference of ages of two persons at any stage will remain the same
To convert any ratio to an exact value, we should have to multiply any constant value
Let, ages of Kavita and Sunita = 3x and 5x respectively, 6 years ago
The difference in their ages will be the same, everywhere
∴ 5x – 3x = 8
∴ 2x = 8
∴ x = 4
⇒ 6 years ago, Age of Kavita = 3 × 4 = 12 and age of Sunita = 5 × 4 = 20
∴ 6 years hence, age of Kavita = 12 + 6 + 6 = 24 years and age of Sunita = 20 + 6 + 6 = 32 years
Therefore, ratio of their ages, 6 years hence = 24 ∶ 32 = 3 ∶ 4