Multiple choice

The ages of Nishit and Vinay are in the ratio 6:5 respectively. After 9 years, the ratio of their ages will be 9:8. What is the difference in their ages now?

  1. 5 years

  2. 4 years

  3. 7 years

  4. 3 years

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let ages be 6x and 5x. (6x + 9) / (5x + 9) = 9 / 8. 48x + 72 = 45x + 81. 3x = 9, so x = 3. Difference = 6x - 5x = x = 3.

AI explanation

Let the present ages of Nishit and Vinay be 6x and 5x. In 9 years, the ratio of their ages will be 9:8, so (6x + 9) / (5x + 9) = 9 / 8. Cross-multiplying yields 48x + 72 = 45x + 81, which simplifies to 3x = 9 and x = 3. The difference between their present ages is 6x - 5x = x, which equals 3 years.