Multiple choice

Three years from now, the ratio of the age of John to that of Ben will be 3 : 4. If the ratio of the present age of John to that of Ben is 2 : 3, what is the present age of John?

  1. 5 years

  2. 6 years

  3. 8 years

  4. 9 years

  5. 11 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be 2x and 3x. (2x + 3) / (3x + 3) = 3 / 4. 8x + 12 = 9x + 9. x = 3. John's present age = 2x = 6.

AI explanation

Let the present ages of John and Ben be 2x and 3x respectively. Three years from now, their ages will be 2x + 3 and 3x + 3, making the ratio (2x + 3) / (3x + 3) = 3 / 4. Solving this equation gives 8x + 12 = 9x + 9, so x equals 3. John's present age is 2 multiplied by 3, which is 6 years.

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