Select the correct answerThe 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.Options9045958075
Question
Select the correct answerThe 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.Options9045958075
Solution
To solve this problem, we need to follow these 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, 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, we can find the weight of D by subtracting the total weight of A, B, and C from the total weight of A, B, C, and D. So, D weighs 320 kg - 252 kg = 68 kg.
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E weighs 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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We can find the weight of A by subtracting the total weight of B, C, and D from the total weight of B, C, D, and E. So, A weighs 320 kg - 316 kg = 4 kg.
However, none of the options (90, 45, 95, 80, 75) match this result. There seems to be a mistake in the problem or the options provided.
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