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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of

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Math Expert V
Joined: 02 Sep 2009
Posts: 55670
In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 77% (01:25) correct 23% (01:47) wrong based on 39 sessions

HideShow timer Statistics In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of y?

A. 18
B. 36
C. 45
D. 54
E. 60

Attachment: 2018-12-25_1326.png [ 7.7 KiB | Viewed 423 times ]

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Joined: 31 Oct 2013
Posts: 1375
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of  [#permalink]

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Bunuel wrote: In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of y?

A. 18
B. 36
C. 45
D. 54
E. 60

Attachment:
2018-12-25_1326.png

x=y/3

y = 3x

w = 2x

v = 2w = 2*2x=4x.

3x + 2x + x + 4x = 180

x = 18.

we are looking for the value of y.

y = 3x = 3*18=54.

Originally posted by KSBGC on 25 Dec 2018, 03:28.
Last edited by KSBGC on 25 Dec 2018, 06:53, edited 1 time in total.
Intern  B
Joined: 22 Dec 2018
Posts: 1
Re: In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of  [#permalink]

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x=y/3
w=2y/3
v=4y/3

therefore, y+x+w+v is y+y/3+2y/3+4y/3
10y/3=180
10y=540

y=54
SVP  V
Joined: 26 Mar 2013
Posts: 2232
Re: In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of  [#permalink]

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selim wrote:
Bunuel wrote: In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of y?

A. 18
B. 36
C. 45
D. 54
E. 60

Attachment:
2018-12-25_1326.png

x=y/3

y = 3x

w = 2x

v = 2w = 2*2x=4x.

3x + 2x + 4x = 180

x = 20.

we are looking for the value of y.

y = 3x = 3*20=60.

Hi selim

The highlighted is incorrect. You forget the fourth angle 'x' itslef. It must be:

3x + 2x + 4x + x= 180........x =18

y =54
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Joined: 18 Aug 2017
Posts: 3889
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of  [#permalink]

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Bunuel wrote: In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of y?

A. 18
B. 36
C. 45
D. 54
E. 60

Attachment:
2018-12-25_1326.png

v+w+x+y= 180

solve for y
y= 54 IMO D

2w+w+4y/3 = 180
2y+4y/3= 180
y = 54
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If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of   [#permalink] 25 Dec 2018, 08:30
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In the figure above, v = 2w, w = 2x, and x = y/3. What is the value of  