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

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Joined: 02 Sep 2009
Posts: 44635
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, 04:13
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (00:43) correct 23% (00:43) wrong based on 43 sessions

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Joined: 31 Oct 2013
Posts: 106
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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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, 04:24
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, 16:18
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?   [#permalink] 11 Apr 2018, 16:18
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If |2x − 5| = 25 − x, what is the sum of the two possible values of x?

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