Question : The average weight of A, B, and C is 40 kg. If the average weight of A and B is 35 kg and that of B and C is 31 kg, then what is the weight of B?
Option 1: 12 kg
Option 2: 50 kg
Option 3: 24 kg
Option 4: 36 kg
Correct Answer: 12 kg
Solution :
The average weight of A, B, and C = 40 kg
The sum of the weights of A, B, and C = 3 × 40 = 120
The average weight of A and B = 35 kg
The sum of the weights of A and B = 2 × 35 = 70
Weight of C = (A + B + C)'s weight – (A + B)'s weight = 120 – 70 = 50
The average weight of B and C = 31 kg
The sum of the weights of B and C = 2 × 31 = 62 kg
So, the weight of B = 62 – 50 =12 kg
Hence, the correct answer is 12 kg.
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