Multiple choice

The ages of Ajay and Vijay are in the ratio (9 : 5). After eight years the ratio of their ages will be (13 : 9). What is the difference between their present ages?

  1. 8 years

  2. 12 years

  3. 9 years

  4. 6 years

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

Let present ages be 9x and 5x (difference = 4x). After 8 years: (9x+8)/(5x+8) = 13/9. Cross-multiplying: 9(9x+8) = 13(5x+8), giving 81x + 72 = 65x + 104, so 16x = 32 and x = 2. Present difference = 4x = 8 years. Age ratio problems require setting up the proportion correctly.