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The average weight of A, B, C and D is 64 kg. If the average weight of A and B is 50 kg and that of B, C and D is 70 kg, what is the weight of B?
  • a)
    50 kg
  • b)
    51 kg
  • c)
    52 kg
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The average weight of A, B, C and D is 64 kg. If the average weight of...
Weights → A + B + C + D = 64 × 4 = 256 kg
Weights → A + B = 50 × 2 = 100 kg
Weights → B + C + D = 70 × 3 = 210 kg
Weights → A + B + B + C + D = 100 + 210 = 310 kg
So the answer = 310 – 256 = 54 kg
Hence, Option D is correct.
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Most Upvoted Answer
The average weight of A, B, C and D is 64 kg. If the average weight of...
Solution:
First, let's represent the weights of A, B, C, and D as follows:
- Let the weight of A be a kg
- Let the weight of B be b kg
- Let the weight of C be c kg
- Let the weight of D be d kg

Calculating the Average Weight
Given, the average weight of A, B, C, and D is 64 kg:
(a + b + c + d) / 4 = 64
a + b + c + d = 256
The average weight of A and B is 50 kg:
(a + b) / 2 = 50
a + b = 100
The average weight of B, C, and D is 70 kg:
(b + c + d) / 3 = 70
b + c + d = 210

Finding the Weight of B
Now, we can substitute the value of a + b and b + c + d into the equation a + b + c + d = 256:
100 + 210 = 256
310 = 256
This equation is not possible, which means there is an inconsistency in the given information. Therefore, the weight of B cannot be determined accurately based on the information provided in the question.
Therefore, the correct answer is option 'D', None of these.
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Question Description
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