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# The points A, B, C and D are on a number line, not

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The points A, B, C and D are on a number line, not [#permalink]  12 Mar 2008, 10:16
The points A, B, C and D are on a number line, not necessarily in that order. If
the distance between A and B is 18 and the distance between C and D is 8,
what is the distance between B and D?

(1) The distance between C and A is equal to the distance between C and B.
(2) A is to the left of D on the number line.
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Re: gprep number line [#permalink]  12 Mar 2008, 17:28
AB = 18, CD = 8

Statement 1:
Tells us that C is midpoint of A and B. There is one more possibility that A and B lie on same point but which is not true as given that AB = 18. So AC = 9, CB = 9
But question asks about distance between BD. Now D can be left of C or can be in right of C, so you cannot say for sure what is distance between BD. So this alone is not sufficient.

Statement 2:
This tells us about A is on left of D, but does not give any information about B, & C. So this alone is also not sufficient.

Combining both statement are not going to help either. Because although A is on right of D, but C can be on left or right of A. Depending on C is in right or left of A position of B will also change. So no fixed distance between B has D.

Re: gprep number line   [#permalink] 12 Mar 2008, 17:28
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