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The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E, whose weight is 3 kg more than that of D, replaces A then the average weight et B,C,D and E becomes 79 kg. The weight of A is? Question Description : 80707579

Question

The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E, whose weight is 3 kg more than that of D, replaces A then the average weight et B,C,D and E becomes 79 kg. The weight of A is? Question Description : 80707579

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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 the group, the average weight becomes 80 kg. This means the total weight of A, B, C, and D is 80 kg * 4 = 320 kg.

  3. Therefore, 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. So, D weighs 320 kg - 252 kg = 68 kg.

  4. E's weight is 3 kg more than D's weight, so E weighs 68 kg + 3 kg = 71 kg.

  5. 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.

  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. So, A weighs 320 kg - 316 kg = 4 kg.

Therefore, the weight of A is 4 kg.

This problem has been solved

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