Multiple choice

The present ratio of the ages of P and Q is 2:3. If the age P is 12 years less than the age of Q, what is the present age of Q in years?

  1. 24

  2. 30

  3. 32

  4. 36

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let P's age be 2x and Q's age be 3x (ratio 2:3). We're told that P is 12 years less than Q: 2x = 3x - 12. Solving: x = 12. Q's present age is 3*12 = 36 years. P's present age is 2*12 = 24 years. The difference is indeed 36 - 24 = 12 years.

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