Multiple choice

The ratio of present ages of Ajay and Vijay is 2 : 3, respectively. Four years ago the ratio of their respective ages was 3 : 5. What is Vijay's present age (in years)?

  1. 16

  2. 8

  3. 32

  4. 24
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be 2x and 3x. (2x - 4) / (3x - 4) = 3 / 5. 10x - 20 = 9x - 12, so x = 8. Vijay's age = 3x = 24.

AI explanation

Let the present ages of Ajay and Vijay be 2x and 3x years respectively. The ratio equation for 4 years ago is (2x - 4) divided by (3x - 4) equals 3 divided by 5. Cross-multiplying gives 10x - 20 = 9x - 12, which simplifies to x = 8. Vijay's present age is 3 times 8, or 24 years.

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