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# If 7x – y = 23 and 7y – x = 31, then x + y =

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Math Expert
Joined: 02 Sep 2009
Posts: 56300
If 7x – y = 23 and 7y – x = 31, then x + y =  [#permalink]

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01 Jun 2017, 12:52
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Difficulty:

5% (low)

Question Stats:

91% (01:28) correct 9% (03:34) wrong based on 45 sessions

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If 7x – y = 23 and 7y – x = 31, then x + y =

(A) 4
(B) 6
(C) 7
(D) 8
(E) 9

Source: Nova GMAT
Difficulty Level: 500

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Joined: 26 Feb 2016
Posts: 3359
Location: India
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Re: If 7x – y = 23 and 7y – x = 31, then x + y =  [#permalink]

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01 Jun 2017, 12:57
1
Since 7x – y = 23 and 7y – x = 31
Adding these 2 equations we get 6x + 6y = 54

Dividing this equation by 6, we get x+y = 9(Option E)
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Re: If 7x – y = 23 and 7y – x = 31, then x + y =  [#permalink]

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06 Feb 2018, 18:39
Bunuel wrote:
If 7x – y = 23 and 7y – x = 31, then x + y =

(A) 4
(B) 6
(C) 7
(D) 8
(E) 9

If we add the two given equations, we will have:

6x + 6y = 54

Divide both sides by 6, we have:

x + y = 9

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Intern
Joined: 21 Nov 2017
Posts: 6
Re: If 7x – y = 23 and 7y – x = 31, then x + y =  [#permalink]

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24 Feb 2018, 22:56
add the given equations we get
6x+6y=54
6(x+y)=54/6 = 9
option E
Re: If 7x – y = 23 and 7y – x = 31, then x + y =   [#permalink] 24 Feb 2018, 22:56
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