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When x is multiplied by 3, the result is 18 more than the result of

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When x is multiplied by 3, the result is 18 more than the result of  [#permalink]

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New post Updated on: 27 Jun 2017, 06:38
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When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?

A) -4
B) -2
C) 11
D) 13
E) 22

Originally posted by HarveyKlaus on 31 Jul 2016, 11:28.
Last edited by Bunuel on 27 Jun 2017, 06:38, edited 1 time in total.
Renamed the topic.
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Re: When x is multiplied by 3, the result is 18 more than the result of  [#permalink]

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New post 31 Jul 2016, 21:36
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HarveyKlaus wrote:
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?

A) -4
B) -2
C) 11
D) 13
E) 22


The equation that can be formed is:

3x-18=26-x
or, 4x=44
or, x=11.

C answer.

To solve such problems, pay attention while you read question. Here, some of us might subtract 26 from x. Ex. 3x-18=x-26 which will lead to answer -4, which is wrong. In question, it has been clearly said to subtract x from 26. In maths, from always comes first.

I hope this helps.

MruDe
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Re: When x is multiplied by 3, the result is 18 more than the result of  [#permalink]

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New post 27 Jun 2017, 01:54
Very well explained MruDe! Thank you! I misinterpreted "subtracting x from 26" as (x-26). I was soo sure the OA is wrong until I say your explanation. Now I am slapping myself! :lol:

Gotta be careful!!

MruDe wrote:
HarveyKlaus wrote:
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?

A) -4
B) -2
C) 11
D) 13
E) 22


The equation that can be formed is:

3x-18=26-x
or, 4x=44
or, x=11.

C answer.

To solve such problems, pay attention while you read question. Here, some of us might subtract 26 from x. Ex. 3x-18=x-26 which will lead to answer -4, which is wrong. In question, it has been clearly said to subtract x from 26. In maths, from always comes first.

I hope this helps.

MruDe

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Re: When x is multiplied by 3, the result is 18 more than the result of  [#permalink]

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New post 27 Jun 2017, 06:36
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Top Contributor
HarveyKlaus wrote:
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?

A) -4
B) -2
C) 11
D) 13
E) 22


When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26.
Translating the colored text, we get: 3x and 26 - x

For many, the tricky part is dealing with "the result is 18 more than"
We know that 3x is 18 more than 26 - x
Our goal is to create an EQUATION. How do we do this?
Since 3x is 18 more than 26 - x, we can make the two quantities equal by EITHER subtracting 18 from 3x OR adding 18 to 26 - x
Let's do the latter.

We get: 3x = 26 - x + 18
Simplify: 3x = 44 - x
Add x to both sides: 4x = 44
Solve: x = 11

Answer:

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Re: When x is multiplied by 3, the result is 18 more than the result of  [#permalink]

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New post 27 Jun 2017, 08:31
HarveyKlaus wrote:
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?

A) -4
B) -2
C) 11
D) 13
E) 22


\(x*3 - 18 = 26 - x\)

Or, \(3x + x = 44\)

Or, \(4x = 44\)

Or, \(x = 11\)

Hence, the correct answer must be (C) 11
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Re: When x is multiplied by 3, the result is 18 more than the result of  [#permalink]

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New post 27 Jun 2017, 13:00
When x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. What is the value of x?

\(3x = (26 - x) + 18\)

\(3x = 26 - x + 18\)

\(4x = 44\)

\(x = 11\)

Hence, Answer is C
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Re: When x is multiplied by 3, the result is 18 more than the result of  [#permalink]

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New post 13 May 2019, 16:09
Not sure why this is tagged Number properties. It's more in line with algebra/ word problem type questions.
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Re: When x is multiplied by 3, the result is 18 more than the result of   [#permalink] 13 May 2019, 16:09
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