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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, then the weight of B is:

Options:
A .  17 kg
B .  20 kg
C .  26 kg
D .  31 kg
Answer: Option D

Let A, B, C represent their respective weights. Then, we have:


A + B + C = (45 x 3) = 135 .... (i)


A + B = (40 x 2) = 80 .... (ii)


B + C = (43 x 2) = 86 ....(iii)


Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)


Subtracting (i) from (iv), we get : B = 31.


Threrfore B's weight = 31 kg.


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