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 is
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 is
Solution
Step 1: Understand the problem. The average weight of 8 people increased by 2.5 kg when a person weighing 56 kg was replaced by a new person. We need to find the weight of the new person.
Step 2: Calculate the total increase in weight. Since the average weight increased by 2.5 kg, and there are 8 people, the total increase in weight is 2.5 kg * 8 = 20 kg.
Step 3: The total increase in weight is due to the new person. So, the weight of the new person is the weight of the person he replaced (56 kg) plus the total increase in weight.
So, the weight of the new person is 56 kg + 20 kg = 76 kg.
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