Multiple choice

The ratio of the present ages of A and B is 8 : 15. Eight years ago, the ratio of their ages was 6 : 13. What will be the ratio of ages of A and B after 8 years from now?

  1. 5 : 8

  2. 9 : 14

  3. 10 : 17

  4. 5 : 9
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages be 8x and 15x. (8x-8)/(15x-8) = 6/13. 104x - 104 = 90x - 48. 14x = 56, x = 4. Ages are 32 and 60. After 8 years, they are 40 and 68. Ratio = 40/68 = 10/17.

AI explanation

Let the present ages of A and B be 8x and 15x respectively. Eight years ago, their ages were 8x - 8 and 15x - 8, giving the ratio (8x - 8) / (15x - 8) = 6 / 13. Cross-multiplying results in 104x - 104 = 90x - 48, which simplifies to 14x = 56, meaning x = 4. After 8 years from now, their ages will be 32 + 8 = 40 and 60 + 8 = 68. The resulting ratio of 40 to 68 simplifies to 10 : 17.

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