The average weight of man, women and children is 45 kg. If the average weight of man and women be 40 kg and that of women and children be 43 kg, thenthe weight of women?	Choose the correct choice from the following choices
A) 29	B) 30	C) 31	D) 35	E) 36
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.   B's weight = 31 kg.   31
<result>C</result>
The average weight of man, women and children is 45 kg. If the average weight of man and women be 40 kg and that of women and children be 43 kg, thenthe weight of women?