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

Question

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

Bunuel · Answer

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.

WoundedTiger · Answer

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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nutshell · Answer

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.

bhatiamanu05 · Answer

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

arunspanda · Answer

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).

PareshGmat · Answer

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

x = 16

Answer = C

kamranko · Answer

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

itsmeechaitali · Answer

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.

Abhishek009 · Answer

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

HasnainAfxal · Answer

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

Answer C

sunngupt11 · Answer

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

jjoy12 · Answer

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

MathRevolution · Answer

\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

kntombat · Answer

\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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