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x y = 6 and y + x = 4
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07 Jul 2022, 05:50
07 Jul 2022, 05:50
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\(x − y = 6\)
\(y + x = 4\)
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
\(y + x = 4\)
Quantity A |
Quantity B |
\(3x\) |
\(x \pi\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas for a Q170
GRE - Math Book
Retired Moderator
Joined: 09 Nov 2021
Status:GRE Tutor London and Online
Affiliations: Private GMAT/GRE Tutor London
Posts: 76
Given Kudos: 6
Re: x y = 6 and y + x = 4
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07 Jul 2022, 06:35
07 Jul 2022, 06:35
1
Because we're given two equations and two unknowns, all we need to do is add the equations to one another. It's helpful to rearrange so that all of the x-values are on top of each other and likewise for the y-values.
x - y = 6
x + y = 4
--------
2x = 10
==>x=5 and y = -1
Now: notice the values that are given. If we have to choose between 3x and pi*x, then for positive values, pi*x is roughly 3.14*x so it will be greater, of course, than 3x. Note that for negative values of x, 3.14*x would be less.
In this case, x is indeed positive, so the answer is B.
x - y = 6
x + y = 4
--------
2x = 10
==>x=5 and y = -1
Now: notice the values that are given. If we have to choose between 3x and pi*x, then for positive values, pi*x is roughly 3.14*x so it will be greater, of course, than 3x. Note that for negative values of x, 3.14*x would be less.
In this case, x is indeed positive, so the answer is B.
gmatclubot
Re: x y = 6 and y + x = 4 [#permalink]
07 Jul 2022, 06:35
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