It is currently 22 Nov 2017, 04:32

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the value of x given that |x-y| = |x-z| (1) y is not

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager
Joined: 05 Dec 2005
Posts: 92

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

Location: Manhattan Beach, CA
What is the value of x given that |x-y| = |x-z| (1) y is not [#permalink]

### Show Tags

02 Jul 2006, 14:45
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the value of x given that |x-y| = |x-z|

(1) y is not equal to z

(2) the sum of y and z is 10

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

Director
Joined: 07 Jun 2006
Posts: 513

Kudos [?]: 146 [0], given: 0

Re: DS: value of x [#permalink]

### Show Tags

02 Jul 2006, 15:34
consultinghokie wrote:
What is the value of x given that |x-y| = |x-z|

(1) y is not equal to z

(2) the sum of y and z is 10

(1) is INSUFF, does not tell us anything about x, then look for B,C or E

(2) y+z = 10

case 1 : x-y = x-z =>y=z

case 2: y-x = z-x =>y=z , y+z = 10 and y = z => y = z = 5, but this does not tell us what X is, x can, in fact, be any number.

(E)

Kudos [?]: 146 [0], given: 0

Manager
Joined: 12 Apr 2006
Posts: 213

Kudos [?]: 30 [0], given: 17

Location: India

### Show Tags

02 Jul 2006, 17:21
I thinks its B

the given equation is |x-y| = |x-z| which when squared gives

=> x^2+y^2-2xy = x^2+z^2-2xz
=> y^2 - z^2 + 2xz - 2xy = 0
=> (y-z)[(y+z)-2x] = 0
=> (y+z)-2x = 0
From statement 2 it is
10 - 2x = 0 => x = 5

Let me know if mised something

Last edited by humans on 02 Jul 2006, 19:44, edited 1 time in total.

Kudos [?]: 30 [0], given: 17

Director
Joined: 07 Jun 2006
Posts: 513

Kudos [?]: 146 [0], given: 0

### Show Tags

02 Jul 2006, 17:34
humans wrote:
I thinks its B

the given equation is |x-y| = |x-z| which when squared gives

=> x^2+y^2-2xy = x^2+z^2-2zy
=> y^2 - z^2 + 2zy - 2xy = 0
=> (y-z)[(y+z)-2x] = 0
=> (y+z)-2x = 0
From statement 2 it is
10 - 2x = 0 => x = 5

Let me know if mised something

humans - what I'm not sure is, in a condition where y = z so that y = z = 5, we have infinite solutions for the equation (x is any integer). How can it be B then? (your solution seems OK, so I can't make out what I'm missing)

Kudos [?]: 146 [0], given: 0

VP
Joined: 25 Nov 2004
Posts: 1481

Kudos [?]: 131 [0], given: 0

Re: DS: value of x [#permalink]

### Show Tags

02 Jul 2006, 17:41
consultinghokie wrote:
What is the value of x given that |x-y| = |x-z|

(1) y is not equal to z
(2) the sum of y and z is 10

1. x-y = x-z or -x +z
if x-y = x-z
y = z which is incorrect cuz it is given in st 1 that y is not equal to z.

if x-y = -x +z
x = (y+z)/2 but we donot know the value.

2. same repets but x = (y+z)/2 = 10/2 = 5
So B.

Kudos [?]: 131 [0], given: 0

Senior Manager
Joined: 07 Jul 2005
Posts: 399

Kudos [?]: 14 [0], given: 0

Location: Sunnyvale, CA

### Show Tags

02 Jul 2006, 18:11
(C)

I. Insufficient.

II. gives us anyvalue of x when y =z, and x = 5, given y + z = 10
Insufficient.

Combining,
(C)

Kudos [?]: 14 [0], given: 0

Director
Joined: 26 Sep 2005
Posts: 567

Kudos [?]: 25 [0], given: 0

Location: Munich,Germany
Re: DS: value of x [#permalink]

### Show Tags

03 Jul 2006, 07:11
consultinghokie wrote:
What is the value of x given that |x-y| = |x-z|

(1) y is not equal to z

(2) the sum of y and z is 10

stmt 1,

you can have 4 situations here

both +ve, both -ve , LHS +ve - RHS -ve and vice versa -- it doesnt tell you anything about x

stmt 2,

the only equation which satisfies is (x-y)= -(x-z) , therefore x=(y+z)/2=5. Hence B.

Kudos [?]: 25 [0], given: 0

Intern
Joined: 23 Jun 2006
Posts: 26

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

### Show Tags

03 Jul 2006, 07:50
C

I. insufficient, could result in any value for X

II. insufficient; if y and z are not 5, then x=5; however if y and z are equal to 5 then x can be any value. Thus, I and II combined allows you to solve for x.

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

CEO
Joined: 20 Nov 2005
Posts: 2892

Kudos [?]: 336 [0], given: 0

Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
Re: DS: value of x [#permalink]

### Show Tags

03 Jul 2006, 16:27
consultinghokie wrote:
What is the value of x given that |x-y| = |x-z|

(1) y is not equal to z

(2) the sum of y and z is 10

C

Squaring both sides and then solving we get

(y-z)(y+z-2x) = 0

St1: In above equation we get y+z-2x = 0: Multiple Solutions: INSUFF

St2: if y+z = 10 then from above eq we get (y-z)(10-2x) = 0 : Multiple Solutions: INSUFF

Combined: From above equation we have 10-2x = 0 i.e x = 5: SUFF
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Kudos [?]: 336 [0], given: 0

Re: DS: value of x   [#permalink] 03 Jul 2006, 16:27
Display posts from previous: Sort by

# What is the value of x given that |x-y| = |x-z| (1) y is not

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.