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Five years ago the average age of P and Q was…

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Five years ago, the average age of P and Q was 25. The average age of P, Q and R today is 25. Age of R after 5 years will be :

  1. A. 15 years
  2. B. 20 years
  3. C. 40 years
  4. D. 35 years

Answer: Option B

Here is complete explanation of Five years ago the average age of P and Q was….

Solution(By ExamCraze Team)

According to the question,
$$frac{P + Q}{2}$$ = 25
P + Q = 50.....(i) (5 years ago)
$$frac{P + Q + R}{3}$$   = 25
P + Q + R = 75.....(ii) (present age)
∴ Present age of P + Q = 50 + 10 = 60 years
Present age of R = 75 - 60 = 15 years
∴ Age of R after 5 years
= 15 + 5 = 20 years

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