Multiple choice

The average age of P, Q and R is 5 years more than R's age. If the total age of P and Q is 39 years, then R's age is

  1. 12 years

  2. 24 years

  3. 16 years

  4. 14 years
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A Correct answer
Explanation

(P+Q+R)/3 = R + 5. P+Q = 39. (39+R)/3 = R + 5 => 39 + R = 3R + 15 => 2R = 24 => R = 12.

AI explanation

The formula for the average states that (P + Q + R) / 3 = R + 5. Multiplying by 3 gives P + Q + R = 3R + 15, which simplifies to P + Q = 2R + 15. Substituting the given total age of P and Q (39 years) results in 39 = 2R + 15, meaning 2R equals 24, so R's age is 12 years.

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