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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:

a) 17 kg
b) 20 kg
c) 26 kg
d) 31 kg

Answer: d
Explanation: Let A, B, C represent their respective weights.
A + B + C = (45 × 3) = 135…..(i)
A + B = (40 × 2) = 80…..(ii)
B + C = (43 × 2) = 86…..(iii)
Adding (ii) and (iii),
A + 2B + C = 166…..(iv)
Subtracting (i) from (iv), B = 31
B’s weight = 31 kg

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