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# The average of 8 scores is 87. Of these, the highest is 2 more than th

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Math Expert
Joined: 02 Sep 2009
Posts: 58422
The average of 8 scores is 87. Of these, the highest is 2 more than th  [#permalink]

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20 Feb 2019, 04:59
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Difficulty:

55% (hard)

Question Stats:

60% (02:03) correct 40% (02:33) wrong based on 20 sessions

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The average of 8 scores is 87. Of these, the highest is 2 more than the one next in magnitude. If these two scores are eliminated the average of the remaining score is 85. What was the highest score?

A. 89
B. 90
C. 91
D. 92
E. 94

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Re: The average of 8 scores is 87. Of these, the highest is 2 more than th  [#permalink]

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20 Feb 2019, 05:14
1
total score of 8 = 8*87

assume Highest one is x
then the next one = x - 2

now total of 6 = 6*85

now by thw given condition

6*85+x+x-2 = 8*87

which gives x = 94

option E ,

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Re: The average of 8 scores is 87. Of these, the highest is 2 more than th  [#permalink]

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20 Feb 2019, 09:13
Bunuel wrote:
The average of 8 scores is 87. Of these, the highest is 2 more than the one next in magnitude. If these two scores are eliminated the average of the remaining score is 85. What was the highest score?

A. 89
B. 90
C. 91
D. 92
E. 94

total sum of score ; 87*8 ; 696
and sum of 6 of these ; 6 * 85 ; 510
difference ; 696-510 ; 186
x+x+2= 186
x= 92
highest score = 92+2 ; 94 IMO E
Re: The average of 8 scores is 87. Of these, the highest is 2 more than th   [#permalink] 20 Feb 2019, 09:13
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