Question : The average weight of A, B, and C is 45 kg. If the average weight of A and B is 40 kg and that of B and C is 43 kg, then the weight (in kg) of B is:
Option 1: 20
Option 2: 26
Option 3: 31
Option 4: 17
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Correct Answer: 31
Solution :
Sum of the average weights of A, B and C = (A + B+ C) = 45 × 3 = 135 Kg (equation 1)
Sum of the average weights of A and B = (A + B) = 40 × 2 = 80 Kg (equation 2)
Sum of the average weights of B and C = (B + C) = 43 × 2 = 86 Kg (equation 3)
Adding equation 2 and equation 3, we get,
A + B + B + C = 80 + 86
Since, A + B + C = 135
⇒ 135 + B = 166
$\therefore$ B = 31 Kg
Hence, the correct answer is 31 kg.
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