Question
Download Solution PDFThe average weight of P, Q and R is 54 kilograms . If the average weight of P and Q is 48 kilograms and that of Q and R is 49 kilograms , what is the weight of Q? (In Kg)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average weight of P, Q, and R = 54 kg
Average weight of P and Q = 48 kg
Average weight of Q and R = 49 kg
Formula used:
Sum of averages = Average × Number of terms
Calculations:
Total weight of P, Q, and R = 54 × 3 = 162
Total weight of P and Q = 48 × 2 = 96
Total weight of Q and R = 49 × 2 = 98
⇒ Weight of Q = weight of (Q + R) + weight of (P + Q) – weight of (P + Q + R)
⇒ Weight of Q = 98 + 96 - 162
⇒ Weight of Q = 32
The correct answer is Option (1).
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