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The sum of x and y is equal to the sum of y and z minus 50. Further

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Math Expert
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The sum of x and y is equal to the sum of y and z minus 50. Further  [#permalink]

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New post 17 Jun 2019, 00:52
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

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

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Concentration: Accounting, Finance
GPA: 3.68
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Re: The sum of x and y is equal to the sum of y and z minus 50. Further  [#permalink]

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New post 17 Jun 2019, 01:01
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.

E is the correct answer.
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Re: The sum of x and y is equal to the sum of y and z minus 50. Further  [#permalink]

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New post 17 Jun 2019, 09:07
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

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Re: The sum of x and y is equal to the sum of y and z minus 50. Further  [#permalink]

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New post 19 Jun 2019, 18:38
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.

Answer: E
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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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