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# What is the average of x and |y| ?

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Intern
Joined: 22 Dec 2009
Posts: 36
What is the average of x and |y| ?  [#permalink]

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22 Jun 2010, 02:44
1
8
00:00

Difficulty:

45% (medium)

Question Stats:

62% (01:41) correct 38% (01:38) wrong based on 322 sessions

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What is the average of x and |y| ?

(1) x + y = 20

(2) |x + y| = 20
Manager
Joined: 04 May 2010
Posts: 76
WE 1: 2 yrs - Oilfield Service
Re: What is the average of x and |y| ?  [#permalink]

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22 Jun 2010, 02:54
4
1
We need the value of (x + |y|) / 2

1. x + y = 20
IF x = 40 and y = -20 then x + |y| = 60
IF x = 10 and y = 10 then x + |y| = 20
INSUFFICIENT

2. |x + y| = 20
IF x = 10 and y = 10 then x + |y| = 20
IF x = -10 and y = -10 then x + |y| = 0
INSUFFICIENT

Both statements together:

The examples from statement 1 still hold true, and we still get multiple values for x + |y|. INSUFFICIENT

Pick E.
##### General Discussion
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Re: What is the average of x and |y| ?  [#permalink]

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02 Jun 2016, 11:09
gmatJP wrote:
What is the average of x and |y| ?

(1) x + y = 20

(2) |x + y| = 20

Average of x+ lyl= x+ lyl/2

To know the average we should either know the values of x and y or know x+ lyl

(1) x + y = 20

x and y can have different possibilities- (30-10), (10+10)- and for each possibility we have different average.

(2) |x + y| = 20

x and y can have different possibilities- (30-10), (10+10), (-30+10)- and for each possibility we will get different average.

Both statements combined together are not giving us the values of x and y or x+ lyl.

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Joined: 01 Dec 2016
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Re: What is the average of x and |y| ?  [#permalink]

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30 May 2017, 13:48
1
For those who want to solve this analytically, without plugging numbers.
average of x+|y| is (x+y)/2 or (x-y)/2

(1) gives (x+y)/2=10, but the we don't know if y is positve or negative. If y is negative then the average of x+|y| is not (x+y)/2. furthermore from statment (1) alone we can not find the value of x-y. therefore, (1) is insufficient.
(2) gives (x+y)/2=10 or (x+y)/2=-10. Similar to statement1, knowing x+y is not sufficient.

Since (1) and (2) are similar conditions, combined they are insufficient

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Re: What is the average of x and |y| ?  [#permalink]

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17 Dec 2018, 09:59
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Re: What is the average of x and |y| ?   [#permalink] 17 Dec 2018, 09:59
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