the average weight of 8 men is increased by 1.5 kg when one of the men weigh 65 kg is replaced by new man what is he weight of the new man

Step 1: Understand the problem The problem is asking for the weight of the new man. We know that the average weight of the 8 men increased by 1.5 kg when one of the men who weighed 65 kg was replaced by the new man.

Step 2: Calculate the total weight of the 8 men before the replacement The average weight of the 8 men before the replacement was increased by 1.5 kg, so the total weight of the 8 men before the replacement was 8 * (average weight - 1.5 kg).

Step 3: Calculate the total weight of the 8 men after the replacement The total weight of the 8 men after the replacement is 8 * average weight.

Step 4: Calculate the weight of the new man The weight of the new man is the total weight of the 8 men after the replacement minus the total weight of the 7 remaining men and the man who was replaced. This is calculated as follows:

Weight of new man = Total weight after replacement - (Total weight before replacement - weight of man replaced)

Since the total weight increased by 1.5 kg per man, and there are 8 men, the total increase is 1.5 kg * 8 = 12 kg.

So, the weight of the new man = (Total weight before replacement + 12 kg) - (Total weight before replacement - 65 kg)

Solving this gives us the weight of the new man.