Multiple choice

The ages of Sonal and Nitya 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. 5 years

  2. 8 years

  3. 10 years

  4. 13 years

  5. 16 years

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

Let ages be 9x and 5x. After 8 years: (9x+8)/(5x+8) = 13/9. Cross-multiplying: 9(9x+8) = 13(5x+8) → 81x+72 = 65x+104 → 16x = 32 → x = 2. Present ages: 9×2=18 and 5×2=10. Difference = 18-10 = 8 years.