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In this figure, x + y = 75. What is the value of q – y?

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Joined: 02 Sep 2009
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In this figure, x + y = 75. What is the value of q – y?  [#permalink]

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New post 17 Jan 2019, 23:36
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (01:52) correct 27% (02:25) wrong based on 34 sessions

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In this figure, x + y = 75. What is the value of q – y?

A 95
B 100
C 105
D 110
E 145

Attachment:
2019-01-18_1135.png
2019-01-18_1135.png [ 13.27 KiB | Viewed 310 times ]

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Re: In this figure, x + y = 75. What is the value of q – y?  [#permalink]

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New post 18 Jan 2019, 06:13
Bunuel wrote:
Image
In this figure, x + y = 75. What is the value of q – y?

A 95
B 100
C 105
D 110
E 145

Attachment:
2019-01-18_1135.png


4x+y=180
y=75-x
solve for x= 35
so 35*4+y=180
y= 40
q+x=180
q=180-35 = 145
q-y= 145-40 = 105
IMO C
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Re: In this figure, x + y = 75. What is the value of q – y?  [#permalink]

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New post 18 Jan 2019, 23:20
No need to solve y
q=3x+y
q-y=3x

4x+y=180
x+y=75
3x=105=q
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Re: In this figure, x + y = 75. What is the value of q – y?   [#permalink] 18 Jan 2019, 23:20
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In this figure, x + y = 75. What is the value of q – y?

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