Multiple choice

The average weight of L, M and N is 93 kg. If the average weight of L and M is 89 kg and that of M and N is 96.5 kg, then the weight (in kg) of M is ________.

  1. 92

  2. 86

  3. 101

  4. 95
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A Correct answer
Explanation

L+M+N = 93*3 = 279. L+M = 89*2 = 178. M+N = 96.5*2 = 193. (L+M) + (M+N) = 178 + 193 = 371. L+2M+N = 371. Subtracting (L+M+N) = 279 gives M = 371 - 279 = 92.

AI explanation

The total weight of L, M and N is 93 times 3, which is 279 kg. The combined weight of L and M is 89 times 2 (178 kg), and the combined weight of M and N is 96.5 times 2 (193 kg). Adding the weights of these two pairs gives 371 kg, and subtracting the total weight of all three people (279 kg) leaves M's weight at 92 kg.

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