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Kritesh
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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 27 Oct 2017, 09:11
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88% (01:36) correct 12% (01:49) wrong based on 257 sessions

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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 5 consecutive days were x + 3, 95, 87, x + 7, and x. If the average (arithmetic mean) of these temperatures was 90 degrees Fahrenheit, what is the value of x ?

A. 85
B. 86
C. 87
D. 88
E. 89
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B
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akshata19
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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 27 Oct 2017, 09:28
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(x + 3 + 95+ 87+ x + 7 + x) /5 =90

( 3x + 192) /5 =90
3x = 450-192
3x = 258
x = 86 - - - - > B

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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 27 Oct 2017, 09:39
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The average of the temperatures was 90 degrees

Hence,
(x + 3 + 95+ 87+ x + 7 + x) /5 =90
=>( 3x + 192) /5 =90
=>3x = 258 => x = 86.

Ans: B.
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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 27 Oct 2017, 10:25
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M = Sum(Day1:DayN) / N

90 = (x +3) + (95) + (87) + (x+7) + x / 5

3 x = 450 - 182
x = 86
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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 30 Oct 2017, 14:01
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Kritesh
The maximum temperatures, in degrees Fahrenheit, recorded in a city on 5 consecutive days were x + 3, 95, 87, x + 7, and x. If the average (arithmetic mean) of these temperatures was 90 degrees Fahrenheit, what is the value of x ?

A. 85
B. 86
C. 87
D. 88
E. 89
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We can determine x with the following equation:

(x + 3 + 95 + 87 + x + 7 + x)/5 = 90

3x + 192 = 450

3x = 258

x = 86

Answer: B
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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 19 Dec 2020, 04:17
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Just an alternate method. Since the average is 90, each of these values should be 90.

So in x + 3, x = 87

in x + 7, x = 83 and x = 90

The sum of x = 87 + 83 + 90 = 260

We also have 95 = 95 - 5 and 87 = 87 + 3 to make them equal to 90.

Therefore 260 - 5 + 3 = 258 and we have the average as 258 / 3 = 86 (only 3 observations have x in it)


Option B

Arun Kumar
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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 07 Jan 2021, 12:17
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CrackVerbalGMAT
Just an alternate method. Since the average is 90, each of these values should be 90.

So in x + 3, x = 87

in x + 7, x = 83 and x = 90

The sum of x = 87 + 83 + 90 = 260

We also have 95 = 95 - 5 and 87 = 87 + 3 to make them equal to 90.

Therefore 260 - 5 + 3 = 258 and we have the average as 258 / 3 = 86 (only 3 observations have x in it)


Option B

Arun Kumar
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Could you please elaborate on your method? I understand that the average can represent every number in the set but how did you logically arrive at the further steps?
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