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Math Expert V
Joined: 02 Sep 2009
Posts: 58381
If 2x + 3y = 11 and 3x + 2y = 9, then x + y =  [#permalink]

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Difficulty:   15% (low)

Question Stats: 96% (01:06) correct 4% (03:48) wrong based on 25 sessions

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If 2x + 3y = 11 and 3x + 2y = 9, then x + y =

(A) 4

(B) 7

(C) 8

(D) 9

(E) 11

Source: Nova GMAT
Difficulty Level: 550

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Originally posted by Bunuel on 07 Apr 2019, 21:50.
Last edited by SajjadAhmad on 23 Jul 2019, 05:36, edited 1 time in total.
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5009
Location: India
Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
Re: If 2x + 3y = 11 and 3x + 2y = 9, then x + y =  [#permalink]

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Bunuel wrote:
If 2x + 3y = 11 and 3x + 2y = 9, then x + y =

(A) 4

(B) 7

(C) 8

(D) 9

(E) 11

solve expression 2x + 3y = 11 and 3x + 2y = 9
x= 1 and y = 3
IMO A ; 4 x+y
Intern  B
Joined: 24 Mar 2016
Posts: 21
Re: If 2x + 3y = 11 and 3x + 2y = 9, then x + y =  [#permalink]

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1
Bunuel wrote:
If 2x + 3y = 11 and 3x + 2y = 9, then x + y =

(A) 4

(B) 7

(C) 8

(D) 9

(E) 11

2x + 3y + 3x + 2y = 11 + 9 = 20
5 (x + y) = 20
x + y = 4

The answer is (A)!
Intern  S
Joined: 21 Jan 2016
Posts: 46
Location: India
GMAT 1: 640 Q44 V34 WE: Manufacturing and Production (Manufacturing)
Re: If 2x + 3y = 11 and 3x + 2y = 9, then x + y =  [#permalink]

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if 2x+3y = 11 then 2x+2y < 11 thus x+ y <5.5 . Answer is A
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Re: If 2x + 3y = 11 and 3x + 2y = 9, then x + y =  [#permalink]

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Bunuel wrote:
If 2x + 3y = 11 and 3x + 2y = 9, then x + y =

(A) 4

(B) 7

(C) 8

(D) 9

(E) 11

Adding the equations together we have:

5x + 5y = 20

Dividing by 5 we have:

x + y = 4

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: If 2x + 3y = 11 and 3x + 2y = 9, then x + y =   [#permalink] 10 Apr 2019, 17:47
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