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# Is y – x positive? (1) y > 0 (2) x = 1 – y

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Intern
Joined: 25 Sep 2010
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Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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28 Oct 2010, 16:44
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Is y – x positive?

(1) y > 0
(2) x = 1 – y
[Reveal] Spoiler: OA

Kudos [?]: 47 [2], given: 7

Intern
Joined: 26 Mar 2010
Posts: 46

Kudos [?]: 10 [0], given: 5

Re: Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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28 Oct 2010, 18:29
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Statement 1 doesn't give you anything b/c you don't know anything about x.

Statement 2 isn't sufficient alone either:
x = 1 – y ; 5 = 1 - (-4); y - x is negative
x = 1 – y ; -5 = 1 - 6; y - x is positive

Both statements together is also insufficient, b/c
x = 1 – y ; 1/2 = 1 - 1/2; y - x = 0

So I think the answer should be E.

Kudos [?]: 10 [0], given: 5

Intern
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Re: Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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28 Oct 2010, 18:58
yamikikyou wrote:
Statement 1 doesn't give you anything b/c you don't know anything about x.

Statement 2 isn't sufficient alone either:
x = 1 – y ; 5 = 1 - (-4); y - x is negative
x = 1 – y ; -5 = 1 - 6; y - x is positive

Both statements together is also insufficient, b/c
x = 1 – y ; 1/2 = 1 - 1/2; y - x = 0

So I think the answer should be E.

could you please explain the combined equation in detail by method of substitution, yeah, i could figure out that both the statements are not sufficient individually and when combined, gives an equation X+Y=1 and Y>0 .....iam not able to get a "no" for this equation

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Current Student
Joined: 15 Jul 2010
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GMAT 1: 750 Q49 V42
Re: Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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28 Oct 2010, 23:54
satishreddy wrote:
yamikikyou wrote:
Statement 1 doesn't give you anything b/c you don't know anything about x.

Statement 2 isn't sufficient alone either:
x = 1 – y ; 5 = 1 - (-4); y - x is negative
x = 1 – y ; -5 = 1 - 6; y - x is positive

Both statements together is also insufficient, b/c
x = 1 – y ; 1/2 = 1 - 1/2; y - x = 0

So I think the answer should be E.

could you please explain the combined equation in detail by method of substitution, yeah, i could figure out that both the statements are not sufficient individually and when combined, gives an equation X+Y=1 and Y>0 .....iam not able to get a "no" for this equation

Combined, y>0 and x+y=1. When problem doesn't state that the variables are integers, you must consider fractions.

if y is 1/4 then x is 3/4 therefore x>y false
if y is 3/4 then x is 1/4 therefore x<y true

So combined, it is insufficient.
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Manager
Joined: 03 Jun 2010
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Re: Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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29 Oct 2010, 00:46
yamikikyou wrote:
Statement 1 doesn't give you anything b/c you don't know anything about x.

Both statements together is also insufficient, b/c
x = 1 – y ; 1/2 = 1 - 1/2; y - x = 0

So I think the answer should be E.

BTW, in GMAT 0 is an even integer, isn't it?
But i'm agree with (E).

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Math Expert
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Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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29 Oct 2010, 02:56
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Expert's post
satishreddy wrote:
Is y – x positive?
(1) y > 0
(2) x = 1 – y

Is $$x-y>0$$?

Or: is $$x>y$$?

(1) y > 0. Clearly insufficient, as no info about x.

(2) x = 1 – y --> $$x+y=1$$ --> the sum of two numbers equals to 1, we can not say from this which one is greater. Not sufficient.

(1)+(2) $$y>0$$ and $$x+y=1$$ --> also insufficient: if $$x=0.1$$ and $$y=0.9$$ then the answer is NO but if $$x=0.9$$ and $$y=0.1$$ then the answer is YES.

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Senior Manager
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GMAT 1: 620 Q44 V31
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GMAT 4: 700 Q50 V34
GMAT 5: 700 Q49 V36
GMAT 6: 690 Q48 V35
GMAT 7: 750 Q49 V42
GMAT 8: 730 Q50 V39
Re: Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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19 Jun 2015, 15:42
Forgot about those pesky positive non-integers!

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Senior Manager
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Re: Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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06 Jul 2015, 01:40
Bunuel wrote:
satishreddy wrote:
Is y – x positive?
(1) y > 0
(2) x = 1 – y

Is $$x-y>0$$? Or: is $$x>y$$?

(1) y>0. Clearly insufficient, as no info about $$x$$.
(2) x = 1 – y --> $$x+y=1$$ --> the sum of two numbers equals to 1, we can not say from this which one is greater. Not sufficient.

(1)+(2) $$y>0$$ and $$x+y=1$$ --> also insufficient: if $$x=0.1$$ and $$y=0.9$$ then the answer is NO but if $$x=0.9$$ and $$y=0.1$$ then the answer is YES.

Bunuel! The question asks if "y-x positive" i.e is y-x>0 ==> is y>x. But if you multiply both sides by -1 to reverse the equation you should flip a sign i.e x-y<0 ==> x<y. Is there a typo in your solution? Or i missed someting? Thanks!
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Kudos [?]: 94 [0], given: 349

Math Expert
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Kudos [?]: 135613 [0], given: 12705

Re: Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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06 Jul 2015, 06:49
Konstantin1983 wrote:
Bunuel wrote:
satishreddy wrote:
Is y – x positive?
(1) y > 0
(2) x = 1 – y

Is $$x-y>0$$? Or: is $$x>y$$?

(1) y>0. Clearly insufficient, as no info about $$x$$.
(2) x = 1 – y --> $$x+y=1$$ --> the sum of two numbers equals to 1, we can not say from this which one is greater. Not sufficient.

(1)+(2) $$y>0$$ and $$x+y=1$$ --> also insufficient: if $$x=0.1$$ and $$y=0.9$$ then the answer is NO but if $$x=0.9$$ and $$y=0.1$$ then the answer is YES.

Bunuel! The question asks if "y-x positive" i.e is y-x>0 ==> is y>x. But if you multiply both sides by -1 to reverse the equation you should flip a sign i.e x-y<0 ==> x<y. Is there a typo in your solution? Or i missed someting? Thanks!

Yes, the question asks whether y > x, while I wrote x > y. But this changes nothing in solution or answer.
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Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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29 Nov 2017, 01:56
Is y – x positive?

(1) y > 0 - clearly insufficient
(2) x = 1 – y

chetan2u, is my approach correct? If yes, is it safe to approach such problems in this manner?
(Thank You )
statement 2: x = 1 – y

x-y = 1-2y
if x-y is negative then y-x is positive.

case 1 :if y = 0,1,... , x-y is negative, y-x is positive
case 2: if y= negative , x-y is positive, y-x is negative
case 3: if 0<y<1, (x-y) is positive , y-x is negative

1 &2 => eliminates case2.
still insufficient
--E--
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Math Expert
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Re: Is y – x positive? (1) y > 0 (2) x = 1 – y [#permalink]

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29 Nov 2017, 08:19
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Expert's post
TaN1213 wrote:
Is y – x positive?

(1) y > 0 - clearly insufficient
(2) x = 1 – y

chetan2u, is my approach correct? If yes, is it safe to approach such problems in this manner?
(Thank You )
statement 2: x = 1 – y

x-y = 1-2y
if x-y is negative then y-x is positive.

case 1 :if y = 0,1,... , x-y is negative, y-x is positive
case 2: if y= negative , x-y is positive, y-x is negative
case 3: if 0<y<1, (x-y) is positive , y-x is negative

1 &2 => eliminates case2.
still insufficient
--E--

Hi...

I think it's correct in this particular case....

Another look at the Q..

Combined..
x=1-y......x+y=1 and y>0
We do not know the relationship between x and y..
X could be >y, x=0.6 & y=0.4......x-y is positive
x could be <y, x=0.4 & y=0.4........y-x is positive
E
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Re: Is y – x positive? (1) y > 0 (2) x = 1 – y   [#permalink] 29 Nov 2017, 08:19
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