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 44 kg, then the weight of B is:  Pick:	A) 31 kg	B) 32 kg	C) 33 kg	D) 34 kg	E) None of these
Explanation:   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 = (44 x 2) = 88 ….(iii)   Adding (ii) and (iii), we get: A + 2B + C = 168 …. (iv)   Subtracting (i) from (iv), we get : B = 33.   B’s weight = 33 kg.   Answer: 33 kg
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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 44 kg, then the weight of B is: