Question

The ratio between age of Anil and Ravi is 2 ∶ 3. The ratio between Ravi’s age 7 years ago and Anil’s age 7 years after is 4 ∶ 5. What is the ratio of Anil’s age 3 years ago and Ravi’s age 3 years after is
1. 2 ∶ 1
2. 1 ∶ 2
3. 3 ∶ 2
4. 2 ∶ 3

Answer 1

Correct Answer - Option 2 : 1 ∶ 2

Given:

Ratio of present age of Anil and Ravi = 2 ∶ 3

Ravi’s age 7 years ago ∶ Anil’s age 7 years after  = 4 ∶ 5

Concept used:

To convert any ratio to exact value, we should have to multiply any constant value

Calculation:

Let, present ages of Anil and Ravi be 2x and 3x respectively

⇒ (3x – 7)/(2x + 7) = 4/5

⇒ 5 × (3x – 7) = 4 × (2x + 7)

⇒ 15x – 35 = 8x + 28

⇒ 7x = 63

⇒ x = 9

Present age of Ravi = 3x

⇒ 3 × 9

⇒ 27 years

Present age of Anil = 2x

⇒ 2 × 9

⇒ 18 years

Ratio of Anil’s age 3 years ago to Ravi’s age 3 years after  = (18 – 3) ∶ (27 + 3)

⇒ 15 ∶ 30

⇒ 1 ∶ 2

∴ The required ratio is 1 ∶ 2.