What number is 108 more than two-thirds of itself? A. 72 B. 144 C

Question

What number is 108 more than two-thirds of itself?

A. 72
 B. 144
 C. 162
 D. 216
 E. 324

BrentGMATPrepNow · Accepted Answer

Let x = the number

We're told that the number is 108 more than two-thirds of itself.
In other words, x = (2/3)x + 108
Or we can write: x = (2x)/3 + 108 
Eliminate the fraction by multiplying both sides by 3 to get: 3x = 2x + 324
Solve: x = 324

Answer: E

sashiim20 · Answer

Let the number be x.

x = 108 +\frac{2}{3}x

x - \frac{2}{3}x = 108

\frac{3x-2x}{3}= 108

\frac{x}{3} = 108

x = 108*3 = 324 . Answer (E)...

BeingHan · Answer

If the number is x
Then x- 2/3x =108
X =324 
E

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ScottTargetTestPrep · Answer

We can let the number = n and create the following equation:

108 + (2/3)n = n

Multiplying the entire equation by 3, we have:

324 + 2n = 3n

324 = n

Answer: E

bashdeep · Answer

Answer:
108 + (2/3) x = x
implies (1/3)x = 108, hence x = 324

Kinshook · Answer

Let the number be x
2x/3 +108 = x
x/3 = 108
x= 324

IMO E

Posted from my mobile device

TheNightKing · Answer

Think of it this way. If the number is 108 more than 2/3rd of itself that means 108 is 1/3 of the number and the number is 3 times 108 which is 324.

Hence E.

YazedMA · Answer

ScottTargetTestPrep  or  GMATPrepNow ,

This may be a weird question, but can you please tell me how you know that the word "itself" in the question refers to "x" that we are solving for, not to 108? At the beginning, the equation I formed is "x = 108 + 2/3(108)" and that gave me 180, which thankfully was not one of the answer choices. After this, I immediately changed the second 108 to x.

Thanks
Yazed

TheNightKing · Answer

What number is 108 more than two-thirds of itself?

Break it down.

What number = x
is = "="
108 = 108
More = +
two-third of itself = 2/3 of x.

the two third of itself cannot be 108 then you would have just said 108.

hero_with_1000_faces · Answer

that means 108 is 1/3 of the number, hence 108 multiply by three. So we have 324

dcummins · Answer

x- 2/3x = 108
(3x-2x)/3=108
x=3*108
x=324

Nipungupta9081 · Answer

Let the number be x
2x/3 +108 = x
x/3 = 108
x= 324

Answer E

RojoC · Answer

x=(2/3)*x +108
x/3 = 108
x=324

GMATinsight · Answer

Answer: Option E

Video solution by  GMATinsight

https://www.youtube.com/watch?v=DgQ6KlY-jQ0

bumpbot · Answer

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What number is 108 more than two-thirds of itself? A. 72 B. 144 C

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What number is 108 more than two-thirds of itself? A. 72 B. 144 C

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