The average weight of A, B and C is 84 kg. A fourth man D joins them andthe average weight four becomes 80 kg. If E whose is 3 kg more than D, replaces A, the average weight of B, C D and E becomes 79kg.The weight of A.Options8075904595
Question
The average weight of A, B and C is 84 kg. A fourth man D joins them andthe average weight four becomes 80 kg. If E whose is 3 kg more than D, replaces A, the average weight of B, C D and E becomes 79kg.The weight of A.Options8075904595
Solution
The problem can be solved in the following steps:
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The average weight of A, B, and C is 84 kg. This means the total weight of A, B, and C is 84 kg * 3 = 252 kg.
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When D joins them, the average weight becomes 80 kg. This means the total weight of A, B, C, and D is 80 kg * 4 = 320 kg.
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Therefore, the weight of D can be calculated as 320 kg (total weight of A, B, C, and D) - 252 kg (total weight of A, B, and C) = 68 kg.
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E's weight is 3 kg more than D, so E weighs 68 kg + 3 kg = 71 kg.
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When E replaces A, the average weight of B, C, D, and E becomes 79 kg. This means the total weight of B, C, D, and E is 79 kg * 4 = 316 kg.
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Therefore, the weight of A can be calculated as 320 kg (total weight of A, B, C, and D) - 316 kg (total weight of B, C, D, and E) = 4 kg.
So, the weight of A is 4 kg.
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