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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

Kudos [?]: 63 [0], given: 21

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

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30 Oct 2012, 12:46
3
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

48% (02:13) correct 52% (01:56) wrong based on 122 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

Kudos [?]: 63 [0], given: 21

Intern
Joined: 25 Jul 2012
Posts: 6

Kudos [?]: 7 [3], given: 10

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!!

Kudos [?]: 7 [3], given: 10

Moderator
Joined: 02 Jul 2012
Posts: 1218

Kudos [?]: 1659 [1], given: 116

Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
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.
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

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Kudos [?]: 1659 [1], given: 116

Intern
Joined: 03 Dec 2012
Posts: 1

Kudos [?]: 3 [1], given: 0

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.

GoGMAT Team

Kudos [?]: 3 [1], given: 0

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 636

Kudos [?]: 653 [0], given: 23

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!!!
Black Friday Debrief

Kudos [?]: 653 [0], given: 23

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 636

Kudos [?]: 653 [0], given: 23

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!!!
Black Friday Debrief

Kudos [?]: 653 [0], given: 23

Manager
Joined: 25 Jun 2012
Posts: 65

Kudos [?]: 63 [0], given: 21

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 ))

Kudos [?]: 63 [0], given: 21

Manager
Joined: 25 Jun 2012
Posts: 65

Kudos [?]: 63 [0], given: 21

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.

Kudos [?]: 63 [0], given: 21

Math Expert
Joined: 02 Sep 2009
Posts: 41886

Kudos [?]: 128774 [0], given: 12182

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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_________________

Kudos [?]: 128774 [0], given: 12182

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16703

Kudos [?]: 273 [0], given: 0

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

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24 Jun 2015, 04:24
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).

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Kudos [?]: 273 [0], given: 0

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Kudos [?]: 273 [0], given: 0

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.
_________________

Kudos [?]: 273 [0], given: 0

Manager
Joined: 28 Jul 2016
Posts: 125

Kudos [?]: 11 [0], given: 39

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

Kudos [?]: 11 [0], given: 39

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