Multiple choice

The ratio between the present ages of A and B is 6:7. If B is 8 years older than A, what will be the ratio of the ages of A and B after 18 years.

  1. $33 : 35$
  2. $37 : 33$
  3. $33 : 37$
  4. $35 : 33$
  5. None of these

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

Let present ages of A and B be 6x and 7x. B is 8 years older than A, so 7x - 6x = 8, which gives x = 8. Present ages: A = 48, B = 56. After 18 years: A = 66, B = 74. Ratio = 66:74 = 33:37. Option C is correct. Option A (33:35) is incorrect - this would require B to be only 2 years older than A.