Question : The average weight of A, B and C is 65 kg. If the average weight of A and B is 63.5 kg, and the average weight of A and C is 67.5 kg, then the weight of A (in kg) is:
Option 1: 67
Option 2: 60
Option 3: 68
Option 4: 65
Correct Answer: 67
Solution :
The average weight of A, B and C = 65 kg
The sum of weights of A, B and C = 65 × 3 = 195 kg
The average weight of A and B = 63.5 kg
The sum of weights of A and B = 63.5 × 2 = 127 kg
Weight of C = 195 – 127 = 68 kg
The average weight of A and C = 67.5 kg
The sum of weights of A and C = 67.5 × 2 = 135 kg
Weight of A = 135 – 68 = 67 kg
Hence, the correct answer is 67.
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