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# On a number line, if point Y is at a distance 3 from point P, and poin

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
On a number line, if point Y is at a distance 3 from point P, and poin  [#permalink]

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14 Jul 2017, 01:27
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Difficulty:

15% (low)

Question Stats:

78% (00:43) correct 22% (00:59) wrong based on 49 sessions

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On a number line, if point Y is at a distance 3 from point P, and point X is at a distance 4 from point P, what is the length of XY?

(A) 1
(B) 4
(C) 5
(D) 7
(E) cannot be determined

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Re: On a number line, if point Y is at a distance 3 from point P, and poin  [#permalink]

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14 Jul 2017, 01:54
If Points X and Y are on either side of Point P, the distance between points X and Y is 3+4 = 7
But, if the points X and Y are on the same side, the distance between the points is 4-3 = 1

Since we are not given on which side of P are points X and Y located,
we cannot clearly determine the length of XY. (Option E)

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Joined: 22 May 2016
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On a number line, if point Y is at a distance 3 from point P, and poin  [#permalink]

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14 Jul 2017, 04:44
Bunuel wrote:
On a number line, if point Y is at a distance 3 from point P, and point X is at a distance 4 from point P, what is the length of XY?

(A) 1
(B) 4
(C) 5
(D) 7
(E) cannot be determined

Same conclusion as pushpitkc , but I sketched.

Y is distance 3 from P, X is distance 4 from P.

X_______4________P_____3_____Y

X__1__Y____3____P

XY = 7, XY =1

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Re: On a number line, if point Y is at a distance 3 from point P, and poin  [#permalink]

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14 Jul 2017, 05:14
Scenario 1: P <---3--->Y<--1-->X, in this case length of XY = 1.

Scenario 2: X <----4----> P <---3--->Y, in this case length of XY = 7.

Hence, option E.
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Joined: 18 Jun 2017
Posts: 59
Re: On a number line, if point Y is at a distance 3 from point P, and poin  [#permalink]

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15 Jul 2017, 08:14
Points X and Y exact location w.r.t Point P cannot be solved from the available information in the problem statement.
Hence Option E
Re: On a number line, if point Y is at a distance 3 from point P, and poin   [#permalink] 15 Jul 2017, 08:14
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