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Director  D
Joined: 24 Oct 2016
Posts: 535
GMAT 1: 670 Q46 V36 GMAT 2: 690 Q47 V38 If the average (arithmetic mean) of positive integers x, y, and z is 1  [#permalink]

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3 00:00

Difficulty:   15% (low)

Question Stats: 75% (00:35) correct 25% (00:47) wrong based on 51 sessions

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If the average (arithmetic mean) of positive integers x, y, and z is 15, what is the greatest possible value of z?

A. 18
B. 20
C. 30
D. 43
E. 45

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CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
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Re: If the average (arithmetic mean) of positive integers x, y, and z is 1  [#permalink]

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dabaobao wrote:
If the average (arithmetic mean) of positive integers x, y, and z is 15, what is the greatest possible value of z?

A. 18
B. 20
C. 30
D. 43
E. 45

x+y+z = 15*3 = 45

Since z has to be maximized therefore x and y must be minimized

The minimum values of x and y may be x=1 and y = 1 (Question does NOT mention that they are different)

i.e. $$1+1+z_{max} = 45$$

i.e. $$z_{max} = 43$$

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Director  G
Joined: 22 Nov 2018
Posts: 560
Location: India
GMAT 1: 640 Q45 V35 GMAT 2: 660 Q48 V33 Re: If the average (arithmetic mean) of positive integers x, y, and z is 1  [#permalink]

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(X+Y+Z)/3=15. Sum= 45, Minimum value of X and Y is 1 each (as a positive integer). Maximum value is 43
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Give +1 kudos if this answer helps..!! Re: If the average (arithmetic mean) of positive integers x, y, and z is 1   [#permalink] 31 Mar 2019, 00:19
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If the average (arithmetic mean) of positive integers x, y, and z is 1

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