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# x, y, and z are consecutive even numbers. What is the average of x, y,

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
x, y, and z are consecutive even numbers. What is the average of x, y,  [#permalink]

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01 Jul 2018, 19:44
00:00

Difficulty:

55% (hard)

Question Stats:

40% (00:45) correct 60% (00:42) wrong based on 57 sessions

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x, y, and z are consecutive even numbers. What is the average of x, y, and z?

(1) z = 12
(2) x = 8

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Manager
Joined: 09 Jun 2018
Posts: 184
Location: United States
GPA: 3.95
WE: Manufacturing and Production (Energy and Utilities)
Re: x, y, and z are consecutive even numbers. What is the average of x, y,  [#permalink]

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01 Jul 2018, 19:50
IMO Option D.

As x,y,z are consecutive even numbers, average will be y. Also, x+2 = y = z-2.

Stmt 1: z = 12 Hence y = 10 Suff. Stmt 2: x = 8, Hence y = 10, Suff. Hence D
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Intern
Joined: 15 Aug 2012
Posts: 42
Schools: AGSM '19
Re: x, y, and z are consecutive even numbers. What is the average of x, y,  [#permalink]

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02 Jul 2018, 13:38
Hi Bunuel

Is the OA: C because we're not told x, y and z are in ascending or descending order? Does GMAT really specify the order for these questions?
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x, y, and z are consecutive even numbers. What is the average of x, y,  [#permalink]

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05 Jul 2018, 09:07
Bunuel wrote:
x, y, and z are consecutive even numbers. What is the average of x, y, and z?

(1) z = 12
(2) x = 8

Average of 3 consecutive even numbers is always the middle number or median value.
So, y is the mean of x,y, and z.

St1:-z=12
y=10 when x<y<z
y=14 when x>y>z

Hence we have two values of average. So, insufficient.

St2:-x = 8
y=10 when x<y<z
y=6 when x>y>z

Hence we have two values of average. So, insufficient.

(1)+(2), y=10,(since x=8<z=12)
Hence,sufficient.

Ans, (C)
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Re: x, y, and z are consecutive even numbers. What is the average of x, y,  [#permalink]

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05 Jul 2018, 20:24
rajudantuluri wrote:
Hi Bunuel

Is the OA: C because we're not told x, y and z are in ascending or descending order? Does GMAT really specify the order for these questions?

Hello

YES, I think the OA is C because of the reason mentioned by you. We are able to get a unique answer only after combining both the statements.
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Re: x, y, and z are consecutive even numbers. What is the average of x, y,  [#permalink]

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06 Jul 2018, 09:28
X,Y,Z - Consecutive even numbers. Average of X,Y,Z?

I) z = 12: Insufficient as we are not about the order of numbers.

Case 1:

z=12
x=8
y=10

Case 2:

z=12
y=14
z=16

II) x=8 Insufficient. Same as A

B

I + II: x=8,y=10,z=12. we are able to get an answer by combining the options. Hence C is the answer.
Re: x, y, and z are consecutive even numbers. What is the average of x, y, &nbs [#permalink] 06 Jul 2018, 09:28
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# x, y, and z are consecutive even numbers. What is the average of x, y,

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