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The ratio of a numerator to denominator is 2:3. If six is

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Joined: 04 Jan 2013
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Kudos [?]: 6 [0], given: 1

The ratio of a numerator to denominator is 2:3. If six is [#permalink] New post 23 Mar 2013, 13:59
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

78% (01:56) correct 22% (01:22) wrong based on 36 sessions
The ratio of a numerator to denominator is 2:3. If six is subtracted from the numerator, the new fraction is now 2/3 of the original fraction. Find the numerator.'

A. 9
B. 10
C. 16
D. 7
E. 18
[Reveal] Spoiler: OA

Last edited by Bunuel on 24 Mar 2013, 03:35, edited 1 time in total.
Edited the question and added the OA.
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Math Expert
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Joined: 02 Sep 2009
Posts: 29671
Followers: 3495

Kudos [?]: 26302 [0], given: 2708

Re: The ratio of a numerator to denominator is 2:3. If six is [#permalink] New post 24 Mar 2013, 03:43
Expert's post
chiccufrazer1 wrote:
The ratio of a numerator to denominator is 2:3. If six is subtracted from the numerator, the new fraction is now 2/3 of the original fraction. Find the numerator.'

A. 9
B. 10
C. 16
D. 7
E. 18


The ratio of a numerator to denominator is 2:3 --> \frac{x}{y} = \frac{2}{3};

If six is subtracted from the numerator, the new fraction is now 2/3 of the original fraction --> \frac{x - 6}{y} = \frac{2}{3}*\frac{2}{3} --> \frac{x}{y} -\frac{6}{y} = \frac{4}{9} --> \frac{2}{3}-\frac{6}{y} = \frac{4}{9} --> \frac{6}{y}=\frac{2}{9} --> y=27 --> \frac{x}{27}=\frac{2}{3} --> x=18.

Answer: E.
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Re: The ratio of a numerator to denominator is 2:3. If six is   [#permalink] 24 Mar 2013, 03:43
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The ratio of a numerator to denominator is 2:3. If six is

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