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If x + 2y = 3 y + 2z = 2 z + 2x = 7 then what is x + y + z?
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25 Nov 2021, 03:35
25 Nov 2021, 03:35
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This question is part of the GRE - Skill Builder Project for a Q170
If x + 2y = 3, y + 2z = 2 , z + 2x = 7 then what is the value of x + y + z?
Show: ::
x+y+z=4
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Re: If x + 2y = 3 y + 2z = 2 z + 2x = 7 then what is x + y + z?
[#permalink]
25 Nov 2021, 05:36
25 Nov 2021, 05:36
Carcass wrote:
This question is part of the GRE - Skill Builder Project for a Q170
If x + 2y = 3, y + 2z = 2 , z + 2x = 7 then what is the value of x + y + z?
Show: ::
x+y+z=4
Given:
x + 2y = 3
y + 2z = 2
z + 2x = 7
Add the 3 equations to get: 3x + 3y + 3z = 12
Factor: 3(x + y + z) = 12
Divide both sides by 3 to get: x + y + z = 4
Answer: 4
gmatclubot
Re: If x + 2y = 3 y + 2z = 2 z + 2x = 7 then what is x + y + z? [#permalink]
25 Nov 2021, 05:36
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