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10 Oct 2017, 00:36
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
30% (02:10) correct
70%
(02:09)
wrong
based on 101
sessions
History
Date
Time
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Not Attempted Yet
If x + y = 7, what is the value of xy(x – y)?
(1) 4xy = 7(x + y)
(2) x^2 = y^2
(1) 4xy = 7(x + y)
(2) x^2 = y^2
Updated on: 11 Oct 2017, 01:27
Originally posted by Alexey1989x on 10 Oct 2017, 02:04.
Last edited by Alexey1989x on 11 Oct 2017, 01:27, edited 1 time in total.
Last edited by Alexey1989x on 11 Oct 2017, 01:27, edited 1 time in total.
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(1) Since, x+y=7, then substituting corrensponding values in the equation 4xy=7(x+y) we get
xy=49/4
x+y=7
solving
y^2-7y+49/4=0
solving we see that x=y=7/2 and xy(x-y)=0
Sufficient
(2)
x^2=y^2
(x+y)(x-y)=0
Since we know that x+y = 7, then there is only one option for this eqution to hold true x-y=0, thus xy(x-y)=0
Sufficient
Answer D.
xy=49/4
x+y=7
solving
y^2-7y+49/4=0
solving we see that x=y=7/2 and xy(x-y)=0
Sufficient
(2)
x^2=y^2
(x+y)(x-y)=0
Since we know that x+y = 7, then there is only one option for this eqution to hold true x-y=0, thus xy(x-y)=0
Sufficient
Answer D.
11 Oct 2017, 01:07
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Alexey1989x
Hi,
The highlighted part should be 7y.
11 Oct 2017, 01:28
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Mo2men
Thank for notice, you're correct!
