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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, what is the weight of B?
  • a)
    31 kg
  • b)
    2812 kg
  • c)
    32 kg
  • d)
    3012 kg
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average weight of A, B and C is 45 kg. If the average weight of A ...
Weight of B = (A + B)’s weight + (B + C)’s weight – (A + B + C)’s weight
= 40 * 2 + 43 * 2 – 45 * 3
= 80 + 86 – 135 = 31 kg.
Hence option [A] is correct answer.
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
The average weight of A, B and C is 45 kg. If the average weight of A ...
Given Information:

The average weight of A, B, and C is 45 kg.
The average weight of A and B is 40 kg.
The average weight of B and C is 43 kg.

Solution:

Let's assume the weight of A, B, and C as A, B, and C kg, respectively.

Step 1: Calculate the sum of weights

The sum of weights of A, B, and C is given by:
A + B + C = (average weight of A, B, and C) * (number of people)
A + B + C = 45 * 3
A + B + C = 135

Step 2: Calculate the sum of weights of A and B

The sum of weights of A and B is given by:
A + B = (average weight of A and B) * (number of people)
A + B = 40 * 2
A + B = 80

Step 3: Calculate the sum of weights of B and C

The sum of weights of B and C is given by:
B + C = (average weight of B and C) * (number of people)
B + C = 43 * 2
B + C = 86

Step 4: Substitute the values in the equations

We can rewrite the equation from Step 1 as:
A = 135 - B - C

Substituting the value of A from Step 4 in the equation from Step 2:
(135 - B - C) + B = 80
135 - C = 80
C = 135 - 80
C = 55

Similarly, substituting the value of C from Step 3 in the equation from Step 4:
A + B = 135 - B - 55
2B = 135 - 55
2B = 80
B = 80/2
B = 40

Therefore, the weight of B is 40 kg.

Answer:

The weight of B is 40 kg, which corresponds to option A.
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