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Complete Question
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is :
Answer:
31 kg
Step-by-step explanation:
From the above question:
A ,B and C average is 45.
Hence, the total values of A, B, C is calculated as:
A + B + C /3 = 45
A + B + C = 45 × 3
A + B + C = 135
Also,
B and C average is 43
The total values of B, C is calculated as:
B + C /2 = 43
B + C = 43 × 2
B + C = 86
A and B average is 40
The total values of A, B is calculated as:
A + B /2 = 40
A + B = 40 × 2
A + B = 80
Hence:
A + B + C = 135
B + C = 86
A + B = 80
Hence, we can solve for A, we substitute 80 for A + B
80 + C = 135
C = 135 - 80
C = 55kg
B + C = 86
B + 55 = 86
B = 86 - 55
B = 31 kg
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