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Statement 1: xy=6 => 5x = (6/x) + 7 => 5x^2 - 7x - 6 =0 => (x-2)(5x+3)=0 => x = 2 or x= -3/5. So the solutions sets are (x,y) = (2,3) and (-3/5,-10). In case 1, x-y<0 and in case 2, x-y>0. Insufficient.

Statement 2: x and y are consecutive integers with the same sign. Take x=k and y=k+1 => 5k = (k+1) + 7 => k=2. So one possible solution is x=2,y=3. Take y=k and x=k+1 => 5(k+1) = k + 7 => k = 1/2. So no solution possible in integers. Therefore x-y<0. Sufficient.

=> x = 2 or x= -3/5. So the solutions sets are (x,y) = (2,3) and (-3/5,-10). In both cases, x-y>0. Sufficient.

isn't st-1 insufficient because of the above solution set? if (x,y) = (2,3), then x-y=2-3 = -1. a 'no' if (x,y) = (-3/5,-10), then x-y=-3/5+10= 47/5. a 'yes'

Bunuel, I checked The link you gave . There m has to be greater than n. But here in this question, it is given that x and y are consecutive. Meaning of consecutive from google indicates that y follows x..

con·sec·u·tive /kənˈsekyətiv/ Adjective Following continuously. In unbroken or logical sequence. Synonyms successive - sequential - running - sequent - serial

So y has to be bigger than x right?

Google is not conducting the test, GMAC does.
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Bunuel, I checked The link you gave . There m has to be greater than n. But here in this question, it is given that x and y are consecutive. Meaning of consecutive from google indicates that y follows x..

con·sec·u·tive /kənˈsekyətiv/ Adjective Following continuously. In unbroken or logical sequence. Synonyms successive - sequential - running - sequent - serial

So y has to be bigger than x right?
_________________

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