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# Points W, X, Y, and Z are on a line, not necessarily in that order. Th

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Math Expert
Joined: 02 Sep 2009
Posts: 51218
Points W, X, Y, and Z are on a line, not necessarily in that order. Th  [#permalink]

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26 Jun 2018, 20:14
00:00

Difficulty:

45% (medium)

Question Stats:

71% (01:53) correct 29% (01:52) wrong based on 45 sessions

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Points W, X, Y, and Z are on a line, not necessarily in that order. The distance between W and X is 2, the distance between X and Y is 4, and the distance between Y and Z is 9. Which of the following could be the distance between X and Z ?

A) 3

B) 5

C) 7

D) 9

E) 11

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Math Expert
Joined: 02 Aug 2009
Posts: 7108
Points W, X, Y, and Z are on a line, not necessarily in that order. Th  [#permalink]

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26 Jun 2018, 21:15
1
Bunuel wrote:
Points W, X, Y, and Z are on a line, not necessarily in that order. The distance between W and X is 2, the distance between X and Y is 4, and the distance between Y and Z is 9. Which of the following could be the distance between X and Z ?

A) 3

B) 5

C) 7

D) 9

E) 11

Given..
1) W to X - 2
2) X to Y - 4
3) Y to Z -9

We can waste time in seeing different combinations of W, X, Y and Z OR realize that we are looking for X to Z and do not worry about W as we are given X to Y and Y to Z

So what answer can we get from X to Y - 4 and Y to Z - 9..
It can be 9-4=5 or 9+4=13...
5 is given in choice B
So B
Layout will be Z-3-W-2-X-4-Y..
So z to x is 2+3=5
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Joined: 04 Jan 2015
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Re: Points W, X, Y, and Z are on a line, not necessarily in that order. Th  [#permalink]

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26 Jun 2018, 21:58
2

Solution

Given:
• Points W, X, Y, and Z are on a line, not necessarily in that order
• Distance between W and X is 2
• Distance between X and Y is 4
• Distance between Y and Z is 9

To find:
• The distance between X and Z

Approach and Working:
As all 4 points are on a line, the points Y and Z can be either on the same side of X or on the opposite sides of X

In the first case,
• The distance between X and Z = 4 + 9 = 13

In the second case,
• The distance between X and Z = 9 – 4 = 5

Hence, the correct answer is option B.

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Re: Points W, X, Y, and Z are on a line, not necessarily in that order. Th &nbs [#permalink] 26 Jun 2018, 21:58
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