Question

The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What will be the weight of the new person ?​

Answer 1

Step-by-step explanation:

Let x be the average weight

First case: Sum of weights of people / 8 people = x

So the sum of weights of people = 8x

Second case: Sum of weights of people / 8 people = x + 2.5

So the sum of weights of people here is 8(x + 2.5) = 8x + 20

So the difference between both sums is essentially the new heavier person that was added which is:

8x + 20 - 8x = 20

So the new guy weights 20kg more than the old guy.

So new guy weights: 65 + 20 = 85kg

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