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# Is x > y? (1) x + c > y + c (2) xc > yc

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Math Expert
Joined: 02 Sep 2009
Posts: 55148
Is x > y? (1) x + c > y + c (2) xc > yc  [#permalink]

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07 Sep 2017, 23:41
1
00:00

Difficulty:

35% (medium)

Question Stats:

88% (00:43) correct 12% (00:31) wrong based on 24 sessions

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Is x > y?

(1) x + c > y + c
(2) xc > yc

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Current Student
Joined: 18 Aug 2016
Posts: 618
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: Is x > y? (1) x + c > y + c (2) xc > yc  [#permalink]

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07 Sep 2017, 23:45
Bunuel wrote:
Is x > y?

(1) x + c > y + c
(2) xc > yc

(1)subtracting c from both sides..sufficient
(2)we dont know the sign of c... not sufficient

A
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Re: Is x > y? (1) x + c > y + c (2) xc > yc  [#permalink]

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09 Sep 2017, 03:05
Bunuel wrote:
Is x > y?

(1) x + c > y + c
(2) xc > yc

1) x + c > y + c

Cancel out c from both sides

x > y

Sufficient

(2) xc > yc

xc - yc > 0

c (x - y) > 0.............Two multiplied numbers to be positive is either both positive or both negative as follows:

x - y > 0... x > y & c > 0...Answer is yes

or

x - y < 0 ....x < y & c < 0...Answer is No

Insufficient

Re: Is x > y? (1) x + c > y + c (2) xc > yc   [#permalink] 09 Sep 2017, 03:05
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