Multiple choice

The ratio of the ages of X and Y is 3:4. The product of their ages is 192. What will be the ratio of their ages after 5 years?

  1. 4:5

  2. 17:21

  3. 7:9

  4. 12:15
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages be 3k and 4k. Product = 12k^2 = 192, so k^2 = 16, k = 4. Ages are 12 and 16. After 5 years, ages are 17 and 21. The ratio is 17:21.

AI explanation

Let the present ages of X and Y be 3x and 4x years. Their product is 12x^2 = 192, so x^2 = 16 and x = 4. This makes their present ages 12 and 16 years. After 5 years, their ages will be 17 and 21 years, making the ratio 17:21.

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