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# If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe

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Manager
Status: Pushing Hard
Affiliations: GNGO2, SSCRB
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Concentration: Finance, Entrepreneurship
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Kudos [?]: 84 [0], given: 11

If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink]

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14 May 2013, 21:44
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Difficulty:

25% (medium)

Question Stats:

73% (02:23) correct 27% (01:47) wrong based on 124 sessions

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If k > 0, x + k = y, and y + 3k = z, what is the ratio between z - x and y - x ?

(A) 1 to 4
(B) 1 to 2
(C) 2 to 1
(D) 3 to 1
(E) 4 to 1
[Reveal] Spoiler: OA

_________________

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Last edited by Bunuel on 04 Oct 2013, 00:01, edited 1 time in total.
Edited the question.
Intern
Joined: 14 May 2013
Posts: 7
Location: United States
Concentration: Entrepreneurship, General Management
Followers: 1

Kudos [?]: 6 [0], given: 36

Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink]

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14 May 2013, 21:54
manishuol wrote:
If k > 0, x + k = y, and y + 3k = z, what is the ratio between z � x and y � x ?

(A) 1 to 4
(B) 1 to 2
(C) 2 to 1
(D) 3 to 1
(E) 4 to 1

The question is not clear, all I can see is a question mark:
z � x and y � x

Can you repost this?
Or is this z?x and y?x the actual question?
Manager
Status: Pushing Hard
Affiliations: GNGO2, SSCRB
Joined: 30 Sep 2012
Posts: 89
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.33
WE: Analyst (Health Care)
Followers: 1

Kudos [?]: 84 [0], given: 11

Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink]

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14 May 2013, 23:23
psychout wrote:
manishuol wrote:
If k > 0, x + k = y, and y + 3k = z, what is the ratio between z � x and y � x ?

(A) 1 to 4
(B) 1 to 2
(C) 2 to 1
(D) 3 to 1
(E) 4 to 1

The question is not clear, all I can see is a question mark:
z � x and y � x

Can you repost this?
Or is this z?x and y?x the actual question?

This is How the Question is ............
_________________

If you don’t make mistakes, you’re not working hard. And Now that’s a Huge mistake.

Joined: 29 Mar 2012
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Location: India
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Kudos [?]: 439 [0], given: 23

Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink]

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15 May 2013, 01:29
manishuol wrote:
If k > 0, x + k = y, and y + 3k = z, what is the ratio between z � x and y � x ?

(A) 1 to 4
(B) 1 to 2
(C) 2 to 1
(D) 3 to 1
(E) 4 to 1

Hi,

From the answer, I could only assume that "z � x" is z-x.
So, (z-x)/(y-x) = 4k/k = 4:1
thus (E)

Regards,
Intern
Joined: 02 Jul 2013
Posts: 7
Followers: 0

Kudos [?]: 2 [1] , given: 16

Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink]

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02 Oct 2013, 12:07
1
KUDOS
If k > 0, x + k = y, and y + 3k = z, what is the ratio between z � x and y � x ?

(A) 1 to 4
(B) 1 to 2
(C) 2 to 1
(D) 3 to 1
(E) 4 to 1

Picking numbers is probably the fastest solution to solve this problem. First, k>0 = k could be ANY positive number. For the purposes of the explanation K= 2. x + 2 = y and y + 3(2) = z. Rearrange the latter equation as to isolate y.

X + 2 = Y
Z - 6 = Y

Now pick Any number for Y. For the sake of our example Y will be 10. Now the equation looks like:

X + 2 = 10
Z - 6 = 10

Solve for X. Solve for Z. X= 8 and Z = 16

what is the ratio between z � x and y � x
16 to 8 as 10 to 8
8 2
8/2 = 4 2/2=1

Thus answer choice E is correct- 4 to 1.
Intern
Joined: 06 Feb 2013
Posts: 23
Followers: 0

Kudos [?]: 4 [0], given: 3

Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink]

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03 Oct 2013, 21:11
cmclaurin wrote:

what is the ratio between z � x and y � x
16 to 8 as 10 to 8
8 2
8/2 = 4 2/2=1

Thus answer choice E is correct- 4 to 1.

Could you please elaborate on how you got 8 2 and further?
thanks
Intern
Joined: 02 Jul 2013
Posts: 7
Followers: 0

Kudos [?]: 2 [0], given: 16

Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink]

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03 Oct 2013, 21:27
16 - 8 = 8

10 - 8 = 2

I hope this is helpful now. Lol (I'm being a troll). Thanks
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Kudos [?]: 15115 [0], given: 224

Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink]

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03 Oct 2013, 23:51
manishuol wrote:
If k > 0, x + k = y, and y + 3k = z, what is the ratio between z � x and y � x ?

(A) 1 to 4
(B) 1 to 2
(C) 2 to 1
(D) 3 to 1
(E) 4 to 1

Assuming that the required ratio is (z - x)/(y - x),

x + k = y
y - x = k

y + 3k = z
x + k + 3k = z
z - x = 4k

(z - x)/(y - x) = 4/1
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Joined: 23 Jan 2013 Posts: 172 Concentration: Technology, Other Schools: Haas GMAT Date: 01-14-2015 WE: Information Technology (Computer Software) Followers: 3 Kudos [?]: 48 [0], given: 41 Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink] ### Show Tags 04 Oct 2013, 23:31 (z-x )/ (y-x) == (y + 3k -x )/ (y-x) where k = y-x hence == (y-x) + 3(y-x) / ( y-x) = 4(y-x)/(y-x) == 4/1 !! GMAT Club Legend Joined: 09 Sep 2013 Posts: 15452 Followers: 649 Kudos [?]: 209 [0], given: 0 Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink] ### Show Tags 04 Mar 2015, 11:09 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. _________________ EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 9120 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: 340 Q170 V170 Followers: 444 Kudos [?]: 2871 [0], given: 169 Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink] ### Show Tags 04 Mar 2015, 17:49 Hi All, This question is perfect for TESTing VALUES. We're given 3 "rules" that we have to follow (regarding the values we choose to TEST): 1) K > 0 2) X + K = Y 3) Y + 3K = Z Let's keep the values small: X = 1 K = 2 1 + 2 = 3 = Y 3 + 3(2) = 9 = Z The question asks for the ratio of (Z-X) to (Y-X). Using the values we chose.... (9-1) to (3-1) = 8 to 2 = 4 to 1 Final Answer: [Reveal] Spoiler: E GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin # Special Offer: Save$75 + GMAT Club Tests

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Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe   [#permalink] 04 Mar 2015, 17:49
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