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Math Expert V
Joined: 02 Sep 2009
Posts: 56257
If x/4 is 2 more than x/8, then x =  [#permalink]

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4 00:00

Difficulty:   5% (low)

Question Stats: 91% (00:43) correct 9% (00:57) wrong based on 1099 sessions

### HideShow timer Statistics 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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Math Expert V
Joined: 02 Sep 2009
Posts: 56257
Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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1
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.

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

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2
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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GMAT 1: 590 Q45 V27 Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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1
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]

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1
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

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Math Expert V
Joined: 02 Sep 2009
Posts: 56257
Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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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.

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Manager  Joined: 04 Oct 2013
Posts: 151
Location: India
GMAT Date: 05-23-2015
GPA: 3.45
Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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1
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]

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

x = 16

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Kindly press "+1 Kudos" to appreciate Intern  Joined: 20 Oct 2015
Posts: 36
Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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[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
Current Student B
Joined: 11 Feb 2017
Posts: 7
Location: India
GMAT 1: 710 Q49 V38 GPA: 3.71
Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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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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Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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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]

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$$\frac{x}{4}=\frac{x}{8}+2$$
$$\frac{x}{4}-\frac{x}{8}=2$$
$$\frac{x}{8}=2$$
$$x=16$$

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Intern  B
Joined: 01 May 2017
Posts: 36
Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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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  Joined: 30 Apr 2014
Posts: 4
Schools: IIMA , IIMB, IIMC , AGSM '18
Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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[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 Re: If x/4 is 2 more than x/8, then x =   [#permalink] 16 Mar 2019, 04:16
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