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# On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX

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On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX [#permalink]  18 Mar 2018, 09:34
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Question Stats:

42% (01:53) correct 57% (00:56) wrong based on 14 sessions
$$W ----------X--------------Y--------------------Z$$

On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is the value of XY?

(A) 5
(B) 10
(C) 11
(D) 16
(E) It cannot be determined from the information given.
[Reveal] Spoiler: OA

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Joined: 15 Feb 2018
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Kudos [?]: 17 [1] , given: 33

Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX [#permalink]  20 Mar 2018, 01:03
1
KUDOS
XY + 2*WX = 26 -- (Eqn.1)
XY + WX = 21 -- (Eqn.2)

Subtract Eq.2 from Eqn.1 to solve for WX = 5.

Substitute away W in either of the equations to obtain X = 16.

So Ans:D
Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX   [#permalink] 20 Mar 2018, 01:03
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# On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX

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