Question
Download Solution PDFThe average weight of P, Q and R is 55 kg. If the average weight of P and Q is 49 kg and that of Q and R is 50 kg, what is the weight of Q? (In kg)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average weight of P, Q, and R is 55 kg.
The average weight of P and Q is 49 kg.
The average weight of Q and R is 50 kg.
Formula used:
Average = Total weight / Number of people
Calculation:
Total weight of P, Q, R = 55 × 3 = 165
Total weight of P, Q = 49 × 2 = 98
Total weight of Q, R = 50 × 2 = 100
Adding P, Q, and R:
⇒ P + Q + R = 165
From P + Q = 98, we get R = 165 - 98
⇒ R = 67
From Q + R = 100, we get Q = 100 - R
⇒ Q = 100 - 67
⇒ Q = 33
∴ The correct answer is option (4).
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