The average weight of 10 people increases by 1.5 kg when a man of 45 kg is replaced by another man. The new weight is

Increase in average weight is 1.5 kg. Since there are 10 people total increase is 15 kg. New man weight = 45 + 15 = 60 kg. Therefore the weight of the new man is 60 kg. This is a direct application of averages in mathematics.