Multiple choice

Present age of A and B are in the ratio of 6 : 7 respectively. 8 years hence, the ratio of ages will become 7 : 8 respectively. What is A's present age in years?

  1. 30 years

  2. 40 years

  3. 48 years

  4. 52 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the ages be 6x and 7x. After 8 years, the ratio is (6x + 8) / (7x + 8) = 7 / 8. Solving this gives 48x + 64 = 49x + 56, so x = 8. A's present age is 6 * 8 = 48 years.

AI explanation

Let the present ages of A and B be 6x and 7x respectively. In 8 years, their ages will be 6x + 8 and 7x + 8, which are in the ratio 7 to 8. Solving the proportion (6x + 8) / (7x + 8) = 7 / 8 gives 48x + 64 = 49x + 56, so x equals 8. A's present age is 6 times 8, which is 48 years.

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