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Bunuel
The average weight of 8 men is increased by 2 kg when one of the men, whose weight is 50 kg is replaced by a new man. The weight of the new man is :

A. 52 kg
B. 58 kg
C. 66 kg
D. 68 kg
E. 70 kg


given
sum of 8 = 8x
now
8x-50+M= x+2
M= 66
IMO C
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Bunuel
The average weight of 8 men is increased by 2 kg when one of the men, whose weight is 50 kg is replaced by a new man. The weight of the new man is :

A. 52 kg
B. 58 kg
C. 66 kg
D. 68 kg
E. 70 kg

Let x = the original average, so the original sum of the men’s weights is 8x. When a man who weighs 50 kg is replaced by a new man, whose weight is n, we have:

(8x - 50 + n)/8 = x + 2

8x - 50 + n = 8x + 16

16 + 50 = n

n = 66

Answer: C
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Another way to see how we can deal with averages through the summation.
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