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If the average (mean) of x and 10 is equal to the average (mean) of x
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19 Jun 2022, 23:50
19 Jun 2022, 23:50
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If the average (mean) of x and 10 is equal to the average (mean) of x, 3, 14, and 16, find the value of x.
A. 10
B. 11
C. 12
D. 13
E. 14
A. 10
B. 11
C. 12
D. 13
E. 14
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: If the average (mean) of x and 10 is equal to the average (mean) of x
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20 Jun 2022, 07:57
20 Jun 2022, 07:57
1
First, write the English in math:
(x + 10)/2 = (x+3+14+16)/4
(x+10)/2 = (x+33)/4
Easiest probably to multiply both sides by 4 (it saves at least a couple of lines vs. cross-multiplying):
2(x+10) = x+33
2x + 20 = x + 33
Combine like terms:
x = 13.
The answer is D.
(x + 10)/2 = (x+3+14+16)/4
(x+10)/2 = (x+33)/4
Easiest probably to multiply both sides by 4 (it saves at least a couple of lines vs. cross-multiplying):
2(x+10) = x+33
2x + 20 = x + 33
Combine like terms:
x = 13.
The answer is D.
gmatclubot
Re: If the average (mean) of x and 10 is equal to the average (mean) of x [#permalink]
20 Jun 2022, 07:57
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