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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, 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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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, 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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New post 17 Jun 2017, 08:30
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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 27 Jun 2017, 15:54
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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:

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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, 17:01
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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, 19:00
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, 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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New post 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] 27 Sep 2019, 20:22
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