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If x and y are positive integers, is x - y > (x+y)/2 ? (1) y < x (2)

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If x and y are positive integers, is x - y > (x+y)/2 ? (1) y < x (2) [#permalink]

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New post 24 Mar 2015, 04:40
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If x and y are positive integers, is x - y > (x+y)/2 ? (1) y < x (2) [#permalink]

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New post 24 Mar 2015, 05:44
Bunuel wrote:
If x and y are positive integers, is x - y > (x+y)/2 ?

(1) y < x
(2) x < 2y

Kudos for a correct solution.


is x - y > (x+y)/2 ?
is x >3y ?

(1) y < x Insufficient.
X=4,Y=2 No.
X=4, Y=1 Yes.
(2) x < 2y
Sufficient as we have to find whether x>3y (note x,y are positive) .
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Re: If x and y are positive integers, is x - y > (x+y)/2 ? (1) y < x (2) [#permalink]

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New post 24 Mar 2015, 20:16
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Bunuel wrote:
If x and y are positive integers, is x - y > (x+y)/2 ?

(1) y < x
(2) x < 2y

Kudos for a correct solution.


rephrased, the question is x > 3y ?

Statement 1:
if x=1, y=1, no
if x=100, y=1 yes
Insufficient

Statement 2:
x < 2y
less than 2y is never larger than 3y
Sufficient

Answer: B

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Re: If x and y are positive integers, is x - y > (x+y)/2 ? (1) y < x (2) [#permalink]

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New post 25 Mar 2015, 00:06
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(X+Y)<2(X-Y)?

1. X>Y; X,Y=2,1(No) = 4,1(Yes); Not sufficient
2. X<2Y; above equation will never satisfy;sufficient

Hence answer is B

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Re: If x and y are positive integers, is x - y > (x+y)/2 ? (1) y < x (2) [#permalink]

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New post 30 Mar 2015, 04:26

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Re: If x and y are positive integers, is x - y > (x+y)/2 ? (1) y < x (2) [#permalink]

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New post 03 Oct 2016, 05:44
lalania1 wrote:
If x and y are positive integers, is x-y > (x+y)/2

1) y < x
2) x < 2y


Reframing the question , we are asked if x > 3y

Statement 1 : x > y. Insufficient.

Statement 2 : 2y > x, If 2y > x, then obviously x is not greater than 3y as x and y are both positive integers. -- SUFFICIENT.
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Re: If x and y are positive integers, is x - y > (x+y)/2 ? (1) y < x (2) [#permalink]

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Re: If x and y are positive integers, is x - y > (x+y)/2 ? (1) y < x (2)   [#permalink] 19 Oct 2017, 03:46
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