The average weight of P, Q and R is . If the average weight of Q and R is and that of R and P is , then the average weight (in ) of P and Q is:
- A42
- B40
- C43
- D49
Solution & Step-by-step Explanation
From the given information, we can establish the sums of weights:Total weight of P, Q, and R:
Total weight of Q and R:
Total weight of R and P:
Subtracting equation (2) from equation (1) provides the weight of P:
Substitute into equation (3) to find the weight of R:
Substitute into equation (2) to find the weight of Q:
Now, calculate the average weight of P and Q:
Total weight of Q and R:
Total weight of R and P:
Subtracting equation (2) from equation (1) provides the weight of P:
Substitute into equation (3) to find the weight of R:
Substitute into equation (2) to find the weight of Q:
Now, calculate the average weight of P and Q: