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The average weight of 8 men is increased by 1 kg when one of them whose we 24 kg is replaced by a new man. What is the weight of the new man?
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The average weight of 8 men is increased by 1 kg when one of them whos...
Solution:

Given data:
- Total number of men = 8
- Average weight increase = 1 kg
- Weight of the man replaced = 24 kg

Let's solve step by step:

Step 1: Calculate the total weight before the replacement:
Total weight of 8 men = 8 * average weight
Total weight of 8 men = 8 * (average weight - 1)
Total weight of 8 men = 8 * (average weight) - 8

Step 2: Calculate the total weight after the replacement:
Total weight of 8 men + weight of new man = 8 * average weight
Total weight of 8 men + weight of new man = 8 * (average weight + 1)
Total weight of 8 men + weight of new man = 8 * (average weight) + 8

Step 3: Calculate the weight of the new man:
Total weight of 8 men - Total weight of 8 men + weight of new man = weight of the man replaced
8 * (average weight) - 8 - (8 * (average weight) + 8) = 24
8 * (average weight) - 8 - 8 * (average weight) - 8 = 24
- 16 = 24
Weight of the new man = 24 kg
Therefore, the weight of the new man is 24 kg.
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The average weight of 8 men is increased by 1 kg when one of them whose we 24 kg is replaced by a new man. What is the weight of the new man?
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