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# If x < y < z, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 50002
If x < y < z, what is the value of x?  [#permalink]

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24 Nov 2017, 00:10
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Difficulty:

35% (medium)

Question Stats:

81% (00:55) correct 19% (01:09) wrong based on 41 sessions

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If x < y < z, what is the value of x?

(1) The range of these three numbers is 22.
(2) The median of these three numbers is 76.

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Joined: 06 Aug 2017
Posts: 4
Location: India
Concentration: Real Estate, Strategy
GRE 1: Q159 V142
GPA: 4
WE: Engineering (Consulting)
Re: If x < y < z, what is the value of x?  [#permalink]

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24 Nov 2017, 00:29
Pls correct me if I am wrong

In Question, provided that

1. Median of X,Y and Z is 76 which means Y is 76
2. Range of the numbers is 22 stating Z-X= 22

Compiling it would give X< 76< (X+22), where X can range from 55 to 75 to satisfy X<Y<Z Condition.

So Answer might be E
Manager
Joined: 24 Nov 2016
Posts: 152
Re: If x < y < z, what is the value of x?  [#permalink]

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24 Nov 2017, 08:31
Bunuel wrote:
If x < y < z, what is the value of x?

(2) The range of these three numbers is 22.
(2) The median of these three numbers is 76.

from (1), x = z - 22; not suf.
from (2), y = 76; not suf.
both (c): if z = 90, then x = 90-22 = 68 and y = 76; if z = 77, x = 55 and y = 76; more than one answer, not suf.
Re: If x < y < z, what is the value of x? &nbs [#permalink] 24 Nov 2017, 08:31
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# If x < y < z, what is the value of x?

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