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# What is the value of │x + 7│?

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Senior Manager
Joined: 28 Jun 2007
Posts: 315

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What is the value of │x + 7│? [#permalink]

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17 Sep 2007, 11:30
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Difficulty:

(N/A)

Question Stats:

100% (00:02) correct 0% (00:00) wrong based on 6 sessions

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What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x + 2)^2 = 169

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Current Student
Joined: 31 Aug 2007
Posts: 368

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17 Sep 2007, 11:54
stmt 1: 2 possibilities
stmt 2: 2 possibilities

using both pick the common factor.
C

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VP
Joined: 08 Jun 2005
Posts: 1144

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17 Sep 2007, 12:29
|x+7| = ?

statement 1

x+3 = 14 or -x-3 = 14

x = 11 or x = -17

insufficient

statement 2

(x+2)^2 = 169

x^2+4x+4 = 169

x^2+4x-165 = 0

(x-11)(x+15) = 0

x= 11 or x = -15

insufficient

both statements

x = 11

sufficient

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CEO
Joined: 29 Mar 2007
Posts: 2554

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Re: DS - Set 6, Q7 [#permalink]

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17 Sep 2007, 12:52
gluon wrote:
What is the value of │x + 7│?
(1) │x + 3│= 14
(2) (x + 2)^2 = 169

-x-3=14 ---> x=-17

x+3=14 x=11

Insuff.

2.
x^2+4x+4=169 x^2+4x-165 (x+15)(x-11) To find these two numbers just realize that 165 has to have 5 as a factor so one of the numbers is going to have a 5 as the units digit.

so x=15, or x=11.

Insuff.

Together x=11.

For s2 be careful not to just squaroot everything. You only get one value this way, 11. Thats what I did =(.

Ans C.

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Re: DS - Set 6, Q7   [#permalink] 17 Sep 2007, 12:52
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# What is the value of │x + 7│?

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