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Director  B
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What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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Question Stats: 87% (00:57) correct 13% (01:29) wrong based on 1266 sessions

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

A. 72
B. 144
C. 162
D. 216
E. 324
Director  V
Joined: 04 Dec 2015
Posts: 723
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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

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

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)...
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Manager  S
Joined: 30 Mar 2017
Posts: 65
Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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

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GMAT Club Legend  V
Joined: 11 Sep 2015
Posts: 4958
GMAT 1: 770 Q49 V46
What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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

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

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

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Originally posted by BrentGMATPrepNow on 27 Jun 2017, 14:54.
Last edited by BrentGMATPrepNow on 28 Dec 2019, 06:35, edited 1 time in total.
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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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1
1
AbdurRakib wrote:
What number is 108 more than two-thirds of itself?

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

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

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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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

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

108 + (2/3) x = x
implies (1/3)x = 108, hence x = 324
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Joined: 03 Jun 2019
Posts: 3184
Location: India
GMAT 1: 690 Q50 V34 WE: Engineering (Transportation)
Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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

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

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

IMO E

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Kinshook Chaturvedi
Email: kinshook.chaturvedi@gmail.com
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Joined: 18 Dec 2017
Posts: 1404
Location: United States (KS)
GMAT 1: 600 Q46 V27 Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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

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

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.
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Joined: 27 Apr 2017
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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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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
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GMAT 1: 600 Q46 V27 Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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YazedMA wrote:
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

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.
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You are missing on great learning if you don't know what this is: Project SC Butler Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C   [#permalink] 11 Dec 2019, 19:58

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