The average weight of A B C is 40 kg the average weight of B D E is 42 kg and the weight of F is equ...........

Math and Mental Ability Average

The average weight of A, B, C is 40 kg, the average weight of B, D, E is 42 kg and the weight of F is equal to that of B. What is the average weight of A, B, C, D, E and F?

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40.5 kg

40.8 kg

41 kg

Cannot be determined as data is inadequate

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Explanation:

According to the question,
(A + B + C)/3 = 40
Or (A + B + C) = 120 ………(i)
(B + D + E)/3 = 42
Or (B + D + E) = 126 ..……(ii)
F = B .…….(iii)
From equations (i) and (ii), we get:
A + B + C + B + D + E = 120 + 126
Or A + B + C + D + E + B = 246
Or A + B + C + D + E + F = 246 (as F = B)
So, average weight of A + B + C + D + E + F = 246/6 = 41