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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.Options7590954580

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.Options7590954580

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Solution

To solve this problem, we need to use the formula for calculating the average, which is the sum of all values divided by the number of values.

  1. The average weight of A, B, and C is 84 kg. This means that 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 that the total weight of A, B, C, and D is 80 kg * 4 = 320 kg.

  3. To find the weight of D, we subtract 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 weighs 3 kg more than D, 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 that the total weight of B, C, D, and E is 79 kg * 4 = 316 kg.

  6. To find the weight of A, we add the weights of B, C, and D, and subtract this from the total weight of B, C, D, and E. So, A weighs 316 kg - (B + C + D).

  7. We know that B + C + D = 320 kg - A. So, A weighs 316 kg - (320 kg - A).

  8. Solving this equation for A gives A = (316 kg + 320 kg) / 2 = 318 kg / 2 = 159 kg.

However, none of the options provided (75, 90, 95, 45, 80) match this result. There seems to be a mistake in the problem or the options provided.

This problem has been solved

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