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# Y is a point on line segment XZ such that XY = 1/2 XZ.

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Moderator
Joined: 18 Apr 2015
Posts: 5835
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Kudos [?]: 1143 [0], given: 5441

Y is a point on line segment XZ such that XY = 1/2 XZ. [#permalink]  05 Jun 2017, 02:24
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Question Stats:

92% (00:57) correct 7% (01:26) wrong based on 13 sessions

Y is a point on line segment XZ such that $$XY = \frac{1}{2} XZ$$. If the length of YZ is 4a + 6, and the length of XZ is 68, then a =

[Reveal] Spoiler: OA
7

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Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 344 [0], given: 66

Re: Y is a point on line segment XZ such that XY = 1/2 XZ. [#permalink]  11 Oct 2017, 05:35
If Y is such that XY is half of XZ, the entire segment, this means Y divides the segment in two equal sub-segments, both 4a+6 long. This means that if the full segment is 68 long, we just have to put 2*(4a+6) = 68 to get a. Indeed, from that equation a = 7!
Re: Y is a point on line segment XZ such that XY = 1/2 XZ.   [#permalink] 11 Oct 2017, 05:35
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