Question : The average age of P, Q, and R is 19 years and that of P and Q is 20 years. R's present age is:
Option 1: 17 years
Option 2: 15 years
Option 3: 20 years
Option 4: 22 years
Correct Answer: 17 years
Solution :
The average age of P, Q, and R is 19 years.
Total age of P, Q, and R = 3 × 19 = 57 years
The average age of P and Q is 20 years.
Total age of P and Q = 2 × 20 = 40 years
$\therefore$ Present age of R = 57 − 40 = 17 years
Hence, the correct answer is 17 years.
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