The average weight of Anand(A) , Billu (B) and Cathy (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 ___Kg.

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Solution

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.

Therefore, B's weight = 31 kg.

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The average weight of Anand(A) , Billu (B) and Cathy (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 ___Kg.

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. Therefore, B's weight = 31 kg.