The age of Q exceeds the age of P by 3 years. The age of R is twice the age of P and the age of Q is twice the age of S. Further, the age difference of R and S is 30 years. What is the sum of the ages of P and Q?
- A. 35 years
- B. 38 years
- C. 39 years
- D. 45 years ✓
Correct Answer: D. 45 years
Explanation
Given Q = P+3, R = 2P, and S = Q/2 = (P+3)/2. Their difference R-S = 30 \implies 2P - \frac{P+3}{2} = 30. Multiplying by 2: 4P - P - 3 = 60 \implies 3P = 63 \implies P=21. Thus, Q = 24, and the sum P+Q = 45.
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