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# The average weight of 8 men is increased by 2 kg when one of the men,

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
The average weight of 8 men is increased by 2 kg when one of the men,  [#permalink]

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21 Feb 2019, 00:55
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Difficulty:

15% (low)

Question Stats:

78% (01:32) correct 22% (01:50) wrong based on 50 sessions

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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

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Re: The average weight of 8 men is increased by 2 kg when one of the men,  [#permalink]

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21 Feb 2019, 01:55
1
1
Bunuel wrote:
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

Total weight increased when a new man joined = 8*2 = 16.

The weight of the old man who was replaced = 50.

weight of the new man = 50 + 16 = 66.

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Re: The average weight of 8 men is increased by 2 kg when one of the men,  [#permalink]

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21 Feb 2019, 08:21
Increase in the avg = 2

So the total weight addition by new man = 16+ (weight of the replaced man - 50 kg)
So option = C is correct
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Re: The average weight of 8 men is increased by 2 kg when one of the men,  [#permalink]

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21 Feb 2019, 10:32
Bunuel wrote:
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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Re: The average weight of 8 men is increased by 2 kg when one of the men,  [#permalink]

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24 Feb 2019, 06:55
1
1
Bunuel wrote:
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

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Re: The average weight of 8 men is increased by 2 kg when one of the men,   [#permalink] 24 Feb 2019, 06:55
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