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# If x + y = z, is the average (arithmetic mean) of x, y and z greater

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Math Expert
Joined: 02 Sep 2009
Posts: 58378
If x + y = z, is the average (arithmetic mean) of x, y and z greater  [#permalink]

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09 Jan 2018, 23:31
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:19) correct 41% (01:44) wrong based on 85 sessions

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If x + y = z, is the average (arithmetic mean) of x, y and z greater than z ?

(1) x > 0
(2) z > 0

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Joined: 22 Aug 2013
Posts: 1430
Location: India
Re: If x + y = z, is the average (arithmetic mean) of x, y and z greater  [#permalink]

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10 Jan 2018, 00:08
1
Bunuel wrote:
If x + y = z, is the average (arithmetic mean) of x, y and z greater than z ?

(1) x > 0
(2) z > 0

x+y=z. Avg of x, y, z= (x+y+z)/3 = (z+z)/3 = 2z/3. Question asks whether 2z/3 > z Or 2z > 3z or 3z - 2z < 0. Thus the question is basically asking whether z < 0 or not.

(1) x > 0. This doesnt tell us anything about the sign of z. Insufficient.

(2) z > 0. So obviously z is not less than 0. This gives us NO as an answer to the question. Sufficient.

Hence B answer
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Re: If x + y = z, is the average (arithmetic mean) of x, y and z greater  [#permalink]

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07 Feb 2019, 22:58
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Re: If x + y = z, is the average (arithmetic mean) of x, y and z greater   [#permalink] 07 Feb 2019, 22:58
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# If x + y = z, is the average (arithmetic mean) of x, y and z greater

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