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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  [#permalink]

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17 Jun 2017, 08:24
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What number is 108 more than two-thirds of itself?

A. 72
B. 144
C. 162
D. 216
E. 324
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Joined: 30 Mar 2017
Posts: 67
Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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17 Jun 2017, 08:27
If the number is x
Then x- 2/3x =108
X =324
E

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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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17 Jun 2017, 08:30
2
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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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What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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Updated on: 28 Dec 2019, 07:35
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1
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 GMATPrepNow on 27 Jun 2017, 15:54.
Last edited by GMATPrepNow on 28 Dec 2019, 07:35, 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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15 Nov 2017, 17:01
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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05 Nov 2018, 19:00
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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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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15 Sep 2019, 05:19
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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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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27 Sep 2019, 20:22
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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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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11 Dec 2019, 20:17
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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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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11 Dec 2019, 20:58
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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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C   [#permalink] 11 Dec 2019, 20:58
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