Multiple choice

P is as more older than Q as Q is older than R. Sum ofpresent ages of P and R is 56 years. What is the present ageof Q?

  1. 28 years

  2. 24 years

  3. 30 years

  4. 26 years

  5. Cannot be determined

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A Correct answer
Explanation

P-Q = Q-R => P+R = 2Q. Given P+R = 56, so 2Q = 56, Q = 28.

AI explanation

The statement means Q is exactly halfway between P and R, making Q the arithmetic mean of their ages. Using the formula for the arithmetic mean, Q equals the sum of P and R divided by 2. Substituting the given sum of 56, we get Q equals 56 divided by 2, which is 28 years.