Multiple choice

The ratio of the present ages of P and Q is 3 : 4, respectively. Four years hence, Q will be five years older than P. What is P's present age?

  1. 15 years

  2. 20 years

  3. 25 years

  4. Cannot be determined

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

P = 3x, Q = 4x. After 4 years: P+4 = 3x+4, Q+4 = 4x+4. Given Q+4 = (P+4) + 5. 4x+4 = 3x+4+5. x = 5. P's age = 3x = 15.

AI explanation

Let the present ages of P and Q be 3x and 4x, respectively. Four years hence, their ages will be 3x + 4 and 4x + 4; since Q will be 5 years older than P, the equation is 4x + 4 = (3x + 4) + 5. Solving this gives x = 5. Therefore, P's present age is 3(5) = 15 years.

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