Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 02:09 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 56267
On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

### Show Tags

1
5 00:00

Difficulty:   45% (medium)

Question Stats: 70% (02:17) correct 30% (02:16) wrong based on 125 sessions

### HideShow timer Statistics  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

Attachment: 2017-07-13_1039.png [ 2.7 KiB | Viewed 2775 times ]

_________________
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3360
Location: India
GPA: 3.12
Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

### Show Tags

1
Let WX = a, XY = b, YZ = c
So, we have to find the value of b.

From the diagram given in the question stem, we can deduce the following information :
a+b = 21
b+c = 26
c = 2a

Substituting this value of c in the equation, we will get the following equations
2a + b = 26
a + b = 21
Solving for a = 5.

From this information, we can say b=16(Option D)
_________________
You've got what it takes, but it will take everything you've got
Director  D
Joined: 13 Mar 2017
Posts: 731
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

### Show Tags

Bunuel wrote: 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

Attachment:
2017-07-13_1039.png

Let WX = p
So, YZ = 2p
Let xy = q

WY = p+q = 21
XZ = q +2p = 26
Solving from 2 equations above we get p = 5,
q = 16 = XY

_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
Senior SC Moderator V
Joined: 22 May 2016
Posts: 3064
On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

### Show Tags

1
Bunuel wrote: 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

Attachment:
2017-07-13_1039.png

$$\frac{YZ}{WX}$$ = $$\frac{2}{1}$$. Let WX = x, thus YZ =2x

W__x__X__________________Y____2x____Z

Once written this way, scrutinize XY for a relationship to some given value(s) and for XY's relationship to the other two segments.

XY + YZ = XZ
XY + WX = WY

We have values and variables for all of them except XY. We have WY = 21, XZ = 26, WX = x, and YZ = 2x. Substitute in equations above, then subtract lower from upper.

XY + 2x = 26
XY + x = 21
----->x = 5

We have x = 5. To find XY, just use x = 5 in either equation.

XY + 5 = 21
XY = 16

_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.

Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
Manager  B
Joined: 16 May 2017
Posts: 51
GPA: 3.8
WE: Medicine and Health (Health Care)
Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is  [#permalink]

### Show Tags

2WX+XY=26
2WX+2XY=42 (Twice of WX+XY=21)
So, XY=16 Re: On segment WZ above, if WY = 21, XZ = 26, and YZ is twice WX, what is   [#permalink] 16 Aug 2018, 12:54
Display posts from previous: Sort by

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