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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.

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.

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Solution

Sure, let's solve this step by step:

  1. 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.

  2. 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.

  3. So, the weight of D can be found by subtracting the total weight of A, B, and C from the total weight of A, B, C, and D. That is, D = 320 kg - 252 kg = 68 kg.

  4. E, whose weight is 3 kg more than D, replaces A. So, the weight of E is 68 kg + 3 kg = 71 kg.

  5. Now, the average weight of B, C, D, and E is 79 kg. This means the total weight of B, C, D, and E is 79 kg * 4 = 316 kg.

  6. The weight of A can be found by subtracting the total weight of B, C, D, and E from the total weight of A, B, C, and D (before D was replaced by E). That is, A = 320 kg - 316 kg = 4 kg.

So, the weight of A is 4 kg.

This problem has been solved

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