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x + y = 16 and x y = 8
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11 Jul 2022, 03:33
11 Jul 2022, 03:33
Expert Reply
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Question Stats:
90% (00:45) correct
10% (05:39) wrong based on 10 sessions
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\(x + y = 16\)
\(x − y = 8\)
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
\(x − y = 8\)
Quantity A |
Quantity B |
\(x^2-y^2\) |
\((x + y)(x + y)\) |
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
Re: x + y = 16 and x y = 8
[#permalink]
19 Jul 2022, 01:57
19 Jul 2022, 01:57
Expert Reply
\(x^2 − y^2\) is the difference between two squares and factors to (x − y)(x + y). Since x + y = 16 and x − y = 8, column A then becomes 16 × 8 = 128. Column B is (x + y)(x + y) which is 16 × 16 = 256. Column B is greater.
gmatclubot
Re: x + y = 16 and x y = 8 [#permalink]
19 Jul 2022, 01:57
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