Multiple choice

The ratio of the ages of two individuals is 3:7. If the ratio of the ages of the individuals ten years ago was 1 : 5, then find the age of the younger individual two years from now.

  1. 17 years

  2. 18 years

  3. 19 years

  4. 20 years

  5. 21 years
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A Correct answer
Explanation

Let ages be 3x and 7x. (3x - 10) / (7x - 10) = 1 / 5. 15x - 50 = 7x - 10, so 8x = 40, x = 5. Current ages are 15 and 35. Younger individual is 15. Two years from now, age is 15 + 2 = 17.

AI explanation

Let the present ages of the younger and older individuals be 3x and 7x; ten years ago, the ratio was (3x - 10) / (7x - 10) = 1 / 5. Cross-multiplying yields 15x - 50 = 7x - 10, which simplifies to 8x = 40, so x = 5. The younger individual's present age is 3 * 5 = 15, and two years from now it will be 15 + 2 = 17. The result is 17 years.

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