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# If x/4 is 2 more than x/8, then x =

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Re: If x/4 is 2 more than x/8, then x = [#permalink]
2
Kudos
The direct approach would be like this:
x/4 = x/8 + 2
x/4 - x/8 = 2
(8x-4x) = 64
4x = 64
x=16

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Re: If x/4 is 2 more than x/8, then x = [#permalink]
2
Kudos
If x/4 is 2 more than x/8, then x =

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

Used Option Choices:
Option 1, 2 can't be the answer as X/8 gives half and one.
Option 3 x/4 is 2 more than x/8== 16/4 = 16/8 +2 ==>>> 4= 4
option 4 32/4= 32/8+2 incorrect
Option 5 64/4 = 64/8 +2 incorrect.

Thanks,
AB

+1 Kudos If you like and understand.
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
If x/4 is 2 more than x/8, then x =
(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

Given: $$\frac{x}{4}-\frac{x}{8}=2$$. At this point we can either solve for x or plug-in the options. Option C works.

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Re: If x/4 is 2 more than x/8, then x = [#permalink]
1
Kudos
Let y = x/8.

So, 2y = x/4

Rewriting the equation (x/4) - (x/8) = 2 as 2y - y = 2, we get y = 2
Or, x/8 = 2
Or, x = 16

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If x/4 is 2 more than x/8, then x = [#permalink]
$$\frac{x}{4} = 2 + \frac{x}{8}$$

x = 16

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Re: If x/4 is 2 more than x/8, then x = [#permalink]
[quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x/4 is 2 more than x/8, then x =

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

x/4=2+x/8

x/4=2x/8

2x/8=2+x/8

==> x/8=2

x=16

C
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
This is an Algebra, Linear Equations problem.
Such kind of sums need extra attention while setting up the equations and most of the options are trap answers from wrong set-up.
he correct set-up is : x/4 + 2 + x/8.
x/4-x/8=2
Here, if you realize that x/8 is actually half of x/4 then u directly have,
x/8=2
and therefore, x=16.
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
itsmeechaitali wrote:
This is an Algebra, Linear Equations problem.
Such kind of sums need extra attention while setting up the equations and most of the options are trap answers from wrong set-up.
he correct set-up is : x/4 + 2 + x/8.
x/4-x/8=2
Here, if you realize that x/8 is actually half of x/4 then u directly have,
x/8=2
and therefore, x=16.

One of the best way of solving such questions is checking the options....

(C) $$x = 16$$

$$\frac{x}{8} = 2$$
$$\frac{x}{4} = 4$$

Where $$\frac{x}{4}$$ is 2 more than $$\frac{x}{8}$$...

Thus, correct answer must be (C) 16
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
$$\frac{x}{4}=\frac{x}{8}+2$$
$$\frac{x}{4}-\frac{x}{8}=2$$
$$\frac{x}{8}=2$$
$$x=16$$

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Re: If x/4 is 2 more than x/8, then x = [#permalink]
The direct approach would be like this:
x/4 = x/8 + 2

x/4 = (x + 16)/8

x/1 = (x+ 16)/2

2x-x = 16

x=16
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
[quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x/4 is 2 more than x/8, then x =

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

Solution :

Easy approach for these questions where denominators are multiples of one another

x/4 can be rewritten as 2x/8. This helps to reduce the time for solving

So equuation can be changed as 2x/8 = 2 + x/8
So x/8 = 2 or x = 16

Please give +1 Kudos if you like this approach
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x/4 is 2 more than x/8, then x =

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

Problem Solving
Question: 2
Category: Algebra First-degree equations
Page: 62
Difficulty: 500

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
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x/4 - x/8=2
x/8 = 2
x=16

IMO C

Posted from my mobile device
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
$$\frac{x}{4}$$ is 2 more than $$\frac{x}{8}$$ means the difference between x/4 and x/8 Is 2

=> $$\frac{x}{4} - \frac{x}{8} = 2$$

=> (2x - x)= 2 * 8

=> x = 16

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Re: If x/4 is 2 more than x/8, then x = [#permalink]
$$\frac{x}{8}$$+2=$$\frac{x}{4}$$;
$$\frac{x+16}{8}$$=$$\frac{x}{4}$$;
x+16=$$\frac{x}{4}$$*8;
x+16=x*2;
2x-x=16;
x=16; Therefore, the OA is C
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
Hello from the GMAT Club BumpBot!

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Re: If x/4 is 2 more than x/8, then x = [#permalink]
Moderator:
Math Expert
93707 posts
The text passage contains a mathematical question and an answer to that question. The question is a linear equation involving the variable \( x \).

**Content Structure:**
- The passage starts with a problem statement: "If x/4 is 2 more than x/8, then x ="
- It is followed by a series of solutions provided by different users, each solving the equation and arriving at the answer \( x = 16 \).

**Analysis:**
- The question is a single linear equation.
- The answer to the question is provided in the text, which is \( x = 16 \).

**
single_question_with_answer**
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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# If x/4 is 2 more than x/8, then x =

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Math Expert
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
2
Kudos
The direct approach would be like this:
x/4 = x/8 + 2
x/4 - x/8 = 2
(8x-4x) = 64
4x = 64
x=16

Manager
Joined: 19 Apr 2013
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
2
Kudos
If x/4 is 2 more than x/8, then x =

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

Used Option Choices:
Option 1, 2 can't be the answer as X/8 gives half and one.
Option 3 x/4 is 2 more than x/8== 16/4 = 16/8 +2 ==>>> 4= 4
option 4 32/4= 32/8+2 incorrect
Option 5 64/4 = 64/8 +2 incorrect.

Thanks,
AB

+1 Kudos If you like and understand.
Math Expert
Joined: 02 Sep 2009
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
If x/4 is 2 more than x/8, then x =
(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

Given: $$\frac{x}{4}-\frac{x}{8}=2$$. At this point we can either solve for x or plug-in the options. Option C works.

Manager
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
1
Kudos
Let y = x/8.

So, 2y = x/4

Rewriting the equation (x/4) - (x/8) = 2 as 2y - y = 2, we get y = 2
Or, x/8 = 2
Or, x = 16

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If x/4 is 2 more than x/8, then x = [#permalink]
$$\frac{x}{4} = 2 + \frac{x}{8}$$

x = 16

Intern
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
[quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x/4 is 2 more than x/8, then x =

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

x/4=2+x/8

x/4=2x/8

2x/8=2+x/8

==> x/8=2

x=16

C
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
This is an Algebra, Linear Equations problem.
Such kind of sums need extra attention while setting up the equations and most of the options are trap answers from wrong set-up.
he correct set-up is : x/4 + 2 + x/8.
x/4-x/8=2
Here, if you realize that x/8 is actually half of x/4 then u directly have,
x/8=2
and therefore, x=16.
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
itsmeechaitali wrote:
This is an Algebra, Linear Equations problem.
Such kind of sums need extra attention while setting up the equations and most of the options are trap answers from wrong set-up.
he correct set-up is : x/4 + 2 + x/8.
x/4-x/8=2
Here, if you realize that x/8 is actually half of x/4 then u directly have,
x/8=2
and therefore, x=16.

One of the best way of solving such questions is checking the options....

(C) $$x = 16$$

$$\frac{x}{8} = 2$$
$$\frac{x}{4} = 4$$

Where $$\frac{x}{4}$$ is 2 more than $$\frac{x}{8}$$...

Thus, correct answer must be (C) 16
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
$$\frac{x}{4}=\frac{x}{8}+2$$
$$\frac{x}{4}-\frac{x}{8}=2$$
$$\frac{x}{8}=2$$
$$x=16$$

Intern
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Posts: 24
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
The direct approach would be like this:
x/4 = x/8 + 2

x/4 = (x + 16)/8

x/1 = (x+ 16)/2

2x-x = 16

x=16
Intern
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
[quote="Bunuel"]The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x/4 is 2 more than x/8, then x =

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

Solution :

Easy approach for these questions where denominators are multiples of one another

x/4 can be rewritten as 2x/8. This helps to reduce the time for solving

So equuation can be changed as 2x/8 = 2 + x/8
So x/8 = 2 or x = 16

Please give +1 Kudos if you like this approach
GMAT Club Legend
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If x/4 is 2 more than x/8, then x =

(A) 4
(B) 8
(C) 16
(D) 32
(E) 64

Problem Solving
Question: 2
Category: Algebra First-degree equations
Page: 62
Difficulty: 500

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

x/4 - x/8=2
x/8 = 2
x=16

IMO C

Posted from my mobile device
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
$$\frac{x}{4}$$ is 2 more than $$\frac{x}{8}$$ means the difference between x/4 and x/8 Is 2

=> $$\frac{x}{4} - \frac{x}{8} = 2$$

=> (2x - x)= 2 * 8

=> x = 16

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Re: If x/4 is 2 more than x/8, then x = [#permalink]
$$\frac{x}{8}$$+2=$$\frac{x}{4}$$;
$$\frac{x+16}{8}$$=$$\frac{x}{4}$$;
x+16=$$\frac{x}{4}$$*8;
x+16=x*2;
2x-x=16;
x=16; Therefore, the OA is C
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Re: If x/4 is 2 more than x/8, then x = [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: If x/4 is 2 more than x/8, then x = [#permalink]
Moderator:
Math Expert
93707 posts
user
The text passage contains a mathematical question and an answer to that question. The question is a linear equation involving the variable \( x \).

**Content Structure:**
- The passage starts with a problem statement: "If x/4 is 2 more than x/8, then x ="
- It is followed by a series of solutions provided by different users, each solving the equation and arriving at the answer \( x = 16 \).

**Analysis:**
- The question is a single linear equation.
- The answer to the question is provided in the text, which is \( x = 16 \).

**TYPE: SINGLE_QUESTION_WITH_ANSWER**