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If |2x − 5| = 25 − x, what is the sum of the two possible values of x?

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If |2x − 5| = 25 − x, what is the sum of the two possible values of x?  [#permalink]

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New post 10 Apr 2018, 03:13
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (00:57) correct 17% (01:05) wrong based on 144 sessions

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Posts: 951
Concentration: Accounting, Finance
GPA: 3.68
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Re: If |2x − 5| = 25 − x, what is the sum of the two possible values of x?  [#permalink]

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New post 10 Apr 2018, 03:24
Bunuel wrote:
If |2x − 5| = 25 − x, what is the sum of the two possible values of x?

A. -20
B. -10
C. 10
D. 20
E. 30


Case 1: 2x-5 is positive:

2x-5=25-x
x=10

case 2: 2x-5 is negative :

-(2x-5)=25-x
-2x + 5 = 25-x
x= -20

so, the sum of 2 possible values od x = 10 + (-20)
=-10

The correct answer is B.
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Re: If |2x − 5| = 25 − x, what is the sum of the two possible values of x?  [#permalink]

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New post 11 Apr 2018, 15:18
Bunuel wrote:
If |2x − 5| = 25 − x, what is the sum of the two possible values of x?

A. -20
B. -10
C. 10
D. 20
E. 30



When (2x - 5) is positive, we have:

2x - 5 = 25 - x

3x = 30

x = 10

When (2x - 5) is negative we have:

-2x + 5 = 25 - x

-20 = x

So the sum is 10 + (-20) = -10.

Answer: B
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Re: If |2x − 5| = 25 − x, what is the sum of the two possible values of x? &nbs [#permalink] 11 Apr 2018, 15:18
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If |2x − 5| = 25 − x, what is the sum of the two possible values of x?

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