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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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New post 17 Jun 2017, 07:24
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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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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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New post 17 Jun 2017, 07:30
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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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Re: What number is 108 more than two-thirds of itself? A. 72 B. 144 C  [#permalink]

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New post 17 Jun 2017, 07:27
If the number is x
Then x- 2/3x =108
X =324
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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New post Updated on: 28 Dec 2019, 06:35
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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

Answer: 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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New post 15 Nov 2017, 16:01
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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


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
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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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New post 05 Nov 2018, 18:00
AbdurRakib wrote:
What number is 108 more than two-thirds of itself?

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


Answer:
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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New post 15 Sep 2019, 04:19
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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New post 27 Sep 2019, 19:22
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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New post 11 Dec 2019, 19:17
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.

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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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New post 11 Dec 2019, 19:58
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, 19:58

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

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