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The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man.The weight of the new man is76 kg72 kg78 kgNone of these

Question

The average weight of 8 persons is increased by 2.5 kg when one of them who weighs 56 kg is replaced by a new man.The weight of the new man is76 kg72 kg78 kgNone of these

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Solution

To solve this problem, we need to understand that the average weight increases because the new man weighs more than the man he replaced.

  1. The total increase in weight is the product of the increase in average weight and the number of persons. In this case, it's 2.5 kg * 8 persons = 20 kg.

  2. The increase in total weight is also the difference in weight between the new man and the man he replaced. So, if we let X be the weight of the new man, we have X - 56 kg = 20 kg.

  3. Solving the equation for X gives us X = 20 kg + 56 kg = 76 kg.

So, the weight of the new man is 76 kg.

This problem has been solved

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