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The average weight of A, B and C is 55 kg. If the average weight of A and B be 50 kg and that of B and C be 53 kg, then the weight of B is
  • a)
    41 kg 
  • b)
    42 kg 
  • c)
    39.5 kg 
  • d)
    45 kg 
Correct answer is option 'A'. Can you explain this answer?
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Given Information:
- Average weight of A, B and C = 55 kg
- Average weight of A and B = 50 kg
- Average weight of B and C = 53 kg

Calculating individual weights:
Let the weight of A, B, and C be denoted as A, B, and C respectively.

1. From the given information, we have:
A + B + C = 55 * 3 = 165 kg (1)

2. Also, A + B = 50 * 2 = 100 kg (2)

3. And, B + C = 53 * 2 = 106 kg (3)

Solving equations:
Subtracting equation (2) from equation (1), we get:
(A + B + C) - (A + B) = 165 - 100
=> C = 65 kg

Subtracting equation (3) from equation (1), we get:
(A + B + C) - (B + C) = 165 - 106
=> A = 59 kg

So, A = 59 kg, B = 41 kg, and C = 65 kg.

Conclusion:
Therefore, the weight of B is 41 kg, which is the correct answer.
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The average weight of A, B and C is 55 kg. If the average weight of A and B be 50 kg and that of B and C be 53 kg, then the weight of B isa)41 kgb)42 kgc)39.5 kgd)45 kgCorrect answer is option 'A'. Can you explain this answer?
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