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Math Expert V
Joined: 02 Sep 2009
Posts: 58428
A system of equations is as shown below x + l = 6 x – m = 5 x + p  [#permalink]

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Difficulty:   15% (low)

Question Stats: 81% (01:21) correct 19% (01:52) wrong based on 21 sessions

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A system of equations is as shown below

x + l = 6
x – m = 5
x + p = 4
x – q = 3

What is the value of l + m + p + q ?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

Source: Nova GMAT
Difficulty Level: 550

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Originally posted by Bunuel on 07 Apr 2019, 21:23.
Last edited by SajjadAhmad on 23 Jul 2019, 10:06, edited 1 time in total.
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5031
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A system of equations is as shown below x + l = 6 x – m = 5 x + p  [#permalink]

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1
Bunuel wrote:
A system of equations is as shown below

x + l = 6
x – m = 5
x + p = 4
x – q = 3

What is the value of l + m + p + q ?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

x + l = 6
x – m = 5
x + p = 4
x – q = 3
(x+l)-(x-m)+(x+p)-(x-q)= 6-5+4-3
IMO A; 2
Intern  B
Joined: 06 Apr 2019
Posts: 9
Re: A system of equations is as shown below x + l = 6 x – m = 5 x + p  [#permalink]

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Let X=0,
Then
l=6
m=-5
p=4
q=-3
So, l+m+p+q=6-5+4-3=2
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8125
Location: United States (CA)
Re: A system of equations is as shown below x + l = 6 x – m = 5 x + p  [#permalink]

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Bunuel wrote:
A system of equations is as shown below

x + l = 6
x – m = 5
x + p = 4
x – q = 3

What is the value of l + m + p + q ?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

We can multiply equation 2 by -1 ad equation 4 by -1, and we have:

x + l = 6
-x + m =- 5
x + p = 4
-x + q = -3

Adding these equations together we have:

l + m + p + q = 2

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: A system of equations is as shown below x + l = 6 x – m = 5 x + p   [#permalink] 10 Apr 2019, 17:59
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