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

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Math Expert
Joined: 02 Sep 2009
Posts: 50617
If x/4 is 2 more than x/8, then x =  [#permalink]

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23 Dec 2013, 06:29
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:43) correct 8% (00:58) wrong based on 1149 sessions

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

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23 Dec 2013, 06:30
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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23 Dec 2013, 10:26
1
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]

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23 Dec 2013, 22:40
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

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

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24 Dec 2013, 00:02
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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Thanks,
AB

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Math Expert
Joined: 02 Sep 2009
Posts: 50617
Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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24 Dec 2013, 02:23
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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Posts: 152
Location: India
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Re: If x/4 is 2 more than x/8, then x =  [#permalink]

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24 Dec 2013, 10:25
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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11 Sep 2014, 01:41
$$\frac{x}{4} = 2 + \frac{x}{8}$$

x = 16

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

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05 Jul 2016, 05:50
[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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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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12 Feb 2017, 03:49
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]

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12 Feb 2017, 06:07
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]

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06 Sep 2018, 08:08
$$\frac{x}{4}=\frac{x}{8}+2$$
$$\frac{x}{4}-\frac{x}{8}=2$$
$$\frac{x}{8}=2$$
$$x=16$$

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Re: If x/4 is 2 more than x/8, then x = &nbs [#permalink] 06 Sep 2018, 08:08
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