Multiple choice

The age of A and B are in the ratio of 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference in years between their ages ?

  1. 12 years

  2. 8 years

  3. 6 years

  4. 7 years

  5. 10 years

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

Let A's age = 11x, B's age = 13x. After 7 years: (11x+7)/(13x+7) = 20/23. Cross-multiply: 23(11x+7) = 20(13x+7) → 253x + 161 = 260x + 140 → 161 - 140 = 260x - 253x → 21 = 7x → x = 3. Difference = 13x - 11x = 2x = 6 years.