The average weight of 8 men is increased by 1.5 kg when one of the men who weigh 65 kg is replaced by a new man. The weight of the new man is:

To solve this problem, we need to understand that the average weight is the total weight divided by the number of people.

Step 1: Calculate the total weight of the 8 men before the replacement. This is done by multiplying the average weight by the number of men. Since we know that the average weight increased by 1.5 kg when the new man replaced the one who weighed 65 kg, the original average weight was 65 kg - 1.5 kg = 63.5 kg. So, the total weight was 63.5 kg * 8 = 508 kg.

Step 2: Calculate the total weight of the 8 men after the replacement. This is done by multiplying the new average weight by the number of men. The new average weight is 65 kg, so the total weight is 65 kg * 8 = 520 kg.

Step 3: The weight of the new man is the difference between the total weight after the replacement and the total weight before the replacement. So, the weight of the new man is 520 kg - 508 kg = 12 kg.