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Math Expert V
Joined: 02 Sep 2009
Posts: 56257
The sum of x and y is equal to the sum of y and z minus 50. Further  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 77% (01:19) correct 23% (01:20) wrong based on 31 sessions

### HideShow timer Statistics The sum of x and y is equal to the sum of y and z minus 50. Further, z is equal to twice x plus 10. What is the value of z?

A. 40
B. 50
C. 60
D. 80
E. 90

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VP  D
Joined: 31 Oct 2013
Posts: 1392
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The sum of x and y is equal to the sum of y and z minus 50. Further  [#permalink]

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Bunuel wrote:
The sum of x and y is equal to the sum of y and z minus 50. Further, z is equal to twice x plus 10. What is the value of z?

A. 40
B. 50
C. 60
D. 80
E. 90

Given,

x + y = y + z - 50

x = z - 50 .................1

again,

z = 2x + 10 ..................2

plug the value of x into 2

z = 2( z - 50 ) + 10

z = 2z - 100 + 10

z = 90.

GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 4245
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The sum of x and y is equal to the sum of y and z minus 50. Further  [#permalink]

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given
x+y=y+z-50
z=2x+10
solve
we get x=40
so y= 90
IMO E

Bunuel wrote:
The sum of x and y is equal to the sum of y and z minus 50. Further, z is equal to twice x plus 10. What is the value of z?

A. 40
B. 50
C. 60
D. 80
E. 90

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6923
Location: United States (CA)
Re: The sum of x and y is equal to the sum of y and z minus 50. Further  [#permalink]

### Show Tags

Bunuel wrote:
The sum of x and y is equal to the sum of y and z minus 50. Further, z is equal to twice x plus 10. What is the value of z?

A. 40
B. 50
C. 60
D. 80
E. 90

We can create the equations:

x + y = y + z - 50

x = z - 50

and

z = 2x + 10

Substituting the second equation into the first (simplified) one, we have:

x = 2x + 10 - 50

-x = -40

x = 40

So z = 2(40) + 10 = 90.

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# Scott Woodbury-Stewart

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Scott@TargetTestPrep.com

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: The sum of x and y is equal to the sum of y and z minus 50. Further   [#permalink] 19 Jun 2019, 18:38
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# The sum of x and y is equal to the sum of y and z minus 50. Further  