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

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Bunuel
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If x/4 is 2 more than x/8, then x = [#permalink] New post  23 Dec 2013, 07:29
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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


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Bunuel
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Re: If x/4 is 2 more than x/8, then x = [#permalink] New post  23 Dec 2013, 07:30
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SOLUTION

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.

Answer: C.
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Re: If x/4 is 2 more than x/8, then x = [#permalink] New post  23 Dec 2013, 11:26
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Kudos
Here plugging in helps...start with option c for possible x value and see which value satisfies the given equation
Or you can form an equation x/4= x/8+2 -----> x= 16

Note that x/4 = 2x/8 and thus x/8= 2 from the above equation and hence x= 16...

Ans C

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Re: If x/4 is 2 more than x/8, then x = [#permalink] New post  23 Dec 2013, 23:40
1
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

(C) is the answer.
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Re: If x/4 is 2 more than x/8, then x = [#permalink] New post  24 Dec 2013, 01:02
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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] New post  24 Dec 2013, 03:23
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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.

Answer: C.
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Re: If x/4 is 2 more than x/8, then x = [#permalink] New post  24 Dec 2013, 11:25
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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

Hence, answer is option (C).
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If x/4 is 2 more than x/8, then x = [#permalink] New post  11 Sep 2014, 02:41
\(\frac{x}{4} = 2 + \frac{x}{8}\)

x = 16

Answer = C
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Re: If x/4 is 2 more than x/8, then x = [#permalink] New post  05 Jul 2016, 06:50
[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] New post  12 Feb 2017, 04:49
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] New post  12 Feb 2017, 07:07
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] New post  06 Sep 2018, 09:08
\(\frac{x}{4}=\frac{x}{8}+2\)
\(\frac{x}{4}-\frac{x}{8}=2\)
\(\frac{x}{8}=2\)
\(x=16\)

Answer C
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Re: If x/4 is 2 more than x/8, then x = [#permalink] New post  05 Jan 2019, 01:20
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] New post  16 Mar 2019, 04:16
[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

Answer : C

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] New post  15 Sep 2019, 06:00
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:
1. Please provide your solutions to the questions;
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

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Re: If x/4 is 2 more than x/8, then x = [#permalink] New post  22 Oct 2020, 05:09
\(\frac{x}{4}\) 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

Answer C
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Re: If x/4 is 2 more than x/8, then x = [#permalink] New post  22 Oct 2020, 05:45
\(\frac{x}{8}\)+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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