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AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993

Last edited by Bunuel on 29 Jun 2015, 04:02, edited 1 time in total.

Renamed the topic, edited the question and added the OA.

Re: What is the value of x given that |x - y| = |x - z| [#permalink]

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16 Jul 2003, 22:27

2

This post received KUDOS

(1) restated says that X must be the average of Y and Z, but we don't know anything about Y and Z so it is not sufficient

(2) restated says that the average of Y and Z is 5, but since we don't know if Y is equal to Z or not, we don't know whether X = 5 is the solution, or whether there are an infinite number of solutions.

(1) and (2) combined says (from 1) that X = (Y + Z)/2 and (from 2) say that Y + Z = 10, hence we can solve for X and C is the answer.
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AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993

Re: What is the value of x given that |x - y| = |x - z| [#permalink]

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17 Jul 2003, 11:15

satgates wrote:

stolyar wrote:

My solution:

Opening up up moduls, we get 4 combinations, of which 2 pairs are identical: Y=Z or 2X=Y+Z

(1) Y is not Z means that we have to deal with the second 2X=Y+Z, but we cannot find X

(2) Y+Z=10 fits for the second option but is of no use for the first, since there is no X.

Combine: the initial equation boils down to 2X=Y+Z that can be solved via the second set of data. X=5. Thus, it is C.

working with your formula which I did to: Where 2x=y+z 2x=10 x=5

Hence B clearly gives you the answer. correct me if I am wrong. Why do we need the first statement at all.

If y = z, then |x| = |x| and x can be ANYTHING. Hence, you need (1) to pin down x = 5.
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Best,

AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993

Re: What is the value of x given that |x - y| = |x - z| [#permalink]

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29 Jun 2015, 03:17

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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Re: What is the value of x given that |x - y| = |x - z| [#permalink]

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07 Jul 2016, 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).

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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Re: What is the value of x given that |x - y| = |x - z| [#permalink]

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05 Sep 2016, 18:13

| x - y | = | x - z |

can be written as

x - y = x - z OR x - y = z - x (Considering the two cases when we open the mod symbl)

Solving each of the above, we get two equation

1. y = z or 2. 2x = y + z

Going to the statements, Statement 1 says y is not equal to z. So, we consider equation 2 as the valid case. However, no information about the values of y and z. hence, insufficient.

Statement 2 alone, does not clarify whether y=z. Hence, insufficient