Multiple choice

The ages of A and B are in the ratio 6:5 and the sum of their ages is 44 years. What will be the ratio of their ages after 8 years?

  1. 3:4

  2. 9:8

  3. 8:7

  4. 7:6

  5. None

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C Correct answer
Explanation

Ratio 6:5, sum 44. 11 parts = 44, so 1 part = 4. Ages are 24 and 20. After 8 years, ages are 32 and 28. Ratio = 32:28 = 8:7.

AI explanation

Let the present ages of A and B be 6x and 5x. Their present sum is 44, so 6x + 5x = 44, meaning x = 4. This makes A's present age 24 and B's present age 20. After 8 years, their ages will be 32 and 28, and the ratio of these ages simplifies to 8:7.