Multiple choice

The ratio of ages of A and B is 2 : 3. After 10 years the ratio of their ages will be 4 : 5. So find the difference between their ages after 5 years.

  1. 10 years

  2. 5 years

  3. 15 years

  4. 20 years

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let current ages: A = 2x, B = 3x. After 10 years: (2x+10)/(3x+10) = 4/5. Cross-multiply: 5(2x+10) = 4(3x+10) → 10x+50 = 12x+40 → x = 5. After 5 years: A = 15, B = 20. Difference = 5 years. Option B is correct.

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