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# If the average (arithmetic mean) of x, y, and z is 20, which of the fo

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Math Expert
Joined: 02 Sep 2009
Posts: 55802
If the average (arithmetic mean) of x, y, and z is 20, which of the fo  [#permalink]

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25 Nov 2018, 23:50
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If the average (arithmetic mean) of x, y, and z is 20, which of the following is the value of z in terms of x and y?

A. 20 - x - y
B. 20 + x + y
C. 40 - x - y
D. 40 + x + y
E. 60 - x - y

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If the average (arithmetic mean) of x, y, and z is 20, which of the fo  [#permalink]

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25 Nov 2018, 23:56
(x+y+z)/3 = 20
z = 60-x-y
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Joined: 03 Mar 2017
Posts: 50
Location: India
Re: If the average (arithmetic mean) of x, y, and z is 20, which of the fo  [#permalink]

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26 Nov 2018, 05:34
z=20.3-x-y
option E
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Joined: 12 Sep 2015
Posts: 3787
Re: If the average (arithmetic mean) of x, y, and z is 20, which of the fo  [#permalink]

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26 Nov 2018, 10:59
Top Contributor
Bunuel wrote:
If the average (arithmetic mean) of x, y, and z is 20, which of the following is the value of z in terms of x and y?

A. 20 - x - y
B. 20 + x + y
C. 40 - x - y
D. 40 + x + y
E. 60 - x - y

The average (arithmetic mean) of x, y, and z is 20
We can write: (x + y + z)/3 = 20
Multiply both sides by 3 to get: x + y + z = 60

Which of the following is the value of z in terms of x and y
Take: x + y + z = 60
Subtract x from both sides to get: y + z = 60 - x
Subtract y from both sides to get: z = 60 - x - y

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Re: If the average (arithmetic mean) of x, y, and z is 20, which of the fo   [#permalink] 26 Nov 2018, 10:59
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