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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
A. 85
B. 86
C. 87
D. 88
E. 89
(x + 3 + 95+ 87+ x + 7 + x) /5 =90
( 3x + 192) /5 =90
3x = 450-192
3x = 258
x = 86 - - - - > B
Posted from my mobile device
( 3x + 192) /5 =90
3x = 450-192
3x = 258
x = 86 - - - - > B
Posted from my mobile device
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.
_________________
Hence,
(x + 3 + 95+ 87+ x + 7 + x) /5 =90
=>( 3x + 192) /5 =90
=>3x = 258 => x = 86.
Ans: B.
_________________
M = Sum(Day1:DayN) / N
90 = (x +3) + (95) + (87) + (x+7) + x / 5
3 x = 450 - 182
x = 86
90 = (x +3) + (95) + (87) + (x+7) + x / 5
3 x = 450 - 182
x = 86
JeffTargetTestPrep
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Last visit: 05 Jan 2024
Posts: 2,973
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Expert reply
Posts: 2,973
Kritesh
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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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
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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Joined: 01 Mar 2019
Last visit: 24 Jun 2025
Posts: 47
Location: India
Schools: Stanford '24 HBS '25 ISB '21 BITSoM '24 (S)
GPA: 3.7
WE:Accounting (Accounting)
Schools: Stanford '24 HBS '25 ISB '21 BITSoM '24 (S)
Posts: 47
CrackVerbalGMAT
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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