Question

5. 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 might be the weight of the new person?
A. 76 kg
B. 76.5 kg
C. 85 kg
D. Data inadequate
E. None of these​

Answer 1

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Answer 2

Answer:

C) 85 kg

Step-by-step explanation:

Let initial average weight of 8 people be x and the weight of new person be y.

So, x = (sum of weights of 8 people) /8

or 8x = (sum of weight of 8 people)

or 8x = (sum of weight of 7 people) + (weight of person which is going to replace)

or 8x = (sum of weight of 7 people) + 65

or sum of weight of 7 people = 8x - 65            ------------[1]

Now, x + 2.5 = { (sum of weight of 7 people) + y} /8

or 8x + 20 = (sum of weight of 7 people) + y

or 8x + 20 = 8x - 65 + y                     [from 1]

or y = 20+65 = 85kg

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