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# If x, y, and k are positive numbers such that 35x/(x-y)

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Manager
Joined: 25 Jun 2012
Posts: 65
If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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30 Oct 2012, 12:46
3
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Difficulty:

75% (hard)

Question Stats:

50% (03:13) correct 50% (01:54) wrong based on 119 sessions

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If x, y, and k are positive numbers such that [35x][/(x-y)] +[(70y-70x)][/(x-y)]=k , and if x>y , which of the following could be a value for k?

(A) −85
(B) −70
(C) −65
(D) −35
(E) −20
[Reveal] Spoiler: OA
Intern
Joined: 25 Jul 2012
Posts: 7
Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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20 Sep 2013, 18:27
3
KUDOS
Hi! Could you help with the following... what is the best strategy?
Thanx

If x, y, and k are positive numbers such that [35x][/(x-y)] +[(70y-70x)][/(x-y)]=k , and if x>y , which of the following could be a value for k?

(A) −85
(B) −70
(C) −65
(D) −35
(E) −20

The easiest way I found is K = 35/[1-Y/X] - 70
35/[1-Y/X] is always >35 [as the denominator is always between 0 and 1]
therefore K>-35, hence K can only be -20

Please give kudos if the explanation helps!!
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Joined: 02 Jul 2012
Posts: 1223
Location: India
Concentration: Strategy
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Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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30 Oct 2012, 21:42
1
KUDOS
If x, y and k are all +ve numbers, how could k be any of the answer choices??. I can only get k>-35 and so only E satisfies the requirement. But even then, the requirement that k is a postive number is not satisfied.

Kudos Please... If my post helped.
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Intern
Joined: 03 Dec 2012
Posts: 1
Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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03 Dec 2012, 11:53
1
KUDOS
2
This post was
BOOKMARKED
If number k such that k=35x/(x-y)+(70y-70x)/(x-y) for some positive numbers x and y, and if x>y, which of the following could be a value for k?
-85
-75
-65
-35
-20
Explanation:
First of all simplify expression for k:
k=35x/(x-y)+(70y-70x)/(x-y)=(35x+70y-70x)/(x-y)=(70y-35x)/(x-y)=(35y+35y-35x)/(x-y)=35y/(x-y)-35
Since y>0 and x>y, 35y/(x-y)>0 or 35y/(x-y)-35>0-35 or k>-35.

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Posts: 641
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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30 Oct 2012, 19:59
Hi! Could you help with the following... what is the best strategy?
Thanx

If x, y, and k are positive numbers such that [35x][/(x-y)] +[(70y-70x)][/(x-y)]=k , and if x>y , which of the following could be a value for k?

(A) −85
(B) −70
(C) −65
(D) −35
(E) −20

Is the OA correct for this? The ans should be E.
_________________

Lets Kudos!!!
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Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 641
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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30 Oct 2012, 21:47
MacFauz wrote:
If x, y and k are all +ve numbers, how could k be any of the answer choices??. I can only get k>-35 and so only E satisfies the requirement. But even then, the requirement that k is a postive number is not satisfied.

Kudos Please... If my post helped.

Yup, this question is posted second time on forum... and again its incorrect
_________________

Lets Kudos!!!
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Manager
Joined: 25 Jun 2012
Posts: 65
Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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31 Oct 2012, 12:40
MacFauz wrote:
If x, y and k are all +ve numbers, how could k be any of the answer choices??.
Kudos Please... If my post helped.

Great notation, I havn't noticed it initially ))
Manager
Joined: 25 Jun 2012
Posts: 65
Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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02 Nov 2012, 12:50
Vips0000 wrote:
MacFauz wrote:
If x, y and k are all +ve numbers, how could k be any of the answer choices??. I can only get k>-35 and so only E satisfies the requirement. But even then, the requirement that k is a postive number is not satisfied.

Kudos Please... If my post helped.

Yup, this question is posted second time on forum... and again its incorrect

I've brang the question up.
Math Expert
Joined: 02 Sep 2009
Posts: 39584
Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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21 Sep 2013, 02:59
If x, y, and k are positive numbers such that [35x][/(x-y)] +[(70y-70x)][/(x-y)]=k , and if x>y , which of the following could be a value for k?

(A) −85
(B) −70
(C) −65
(D) −35
(E) −20

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Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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24 Jun 2015, 04:24
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Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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11 Jul 2016, 06:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Manager
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Posts: 109
Re: If x, y, and k are positive numbers such that 35x/(x-y) [#permalink]

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05 Mar 2017, 05:27
x = 10
y = 3

(70*3-35*10)/(10-3) = (210-350)/7 = 20

Re: If x, y, and k are positive numbers such that 35x/(x-y)   [#permalink] 05 Mar 2017, 05:27
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