Question

average weight of 10 people increased by 1.5 kg when one person of 45 kg is replaced by a new man. then weight of the new man is

Answer 1

Answer:

60 kg

Step-by-step explanation:

Let the average weight of 10 people be avg.

So, avg= total weight of 10 people/10------equation 1

Let the weight of the new person be x kg.

Replacing it from the weight of the removed person, total weight of 10 people will be = total weight of 10 people -45 + x-----equation 2

But the average increases by 1.5 kg.

So, new average= avg +1.5=(total weight of 10 people -45 +x)/10(from -----equation 2)-------equation 3

putting equation 1 in 3;

=>total weight of 10 people/10 + 1.5=(total weight of 10 people -45 +x)/10

=>total weight of 10 people+ 15 =total weight of 10 people-45 +x

=>x=60 kg

Thus, the weight of the new man is 60 kgs.