Question : The average age of P, Q, and R is 5 years more than R's age. If the total ages of P and Q together is 39 years, then R's age is:
Option 1: 12 years
Option 2: 24 years
Option 3: 16 years
Option 4: 14 years
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Correct Answer: 12 years
Solution :
Given: The average age of $P, Q$, and $R$ is 5 years more than R's age.
The total ages of $P$ and $Q$ together is 39 years.
According to the question,
⇒ $\frac{(P+Q+R)}{3}=R+5$
⇒ $P+Q+R=3R+15$
⇒ $P+Q=2R+15$
⇒ $39=2R+15$
⇒ $R = 12$ years
Hence, the correct answer is 12 years.
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