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.'
Correct answer: E
Explanation
The ratio of a numerator to denominator is 2:3 --> x/y=2/3
If six is subtracted from the numerator, the new fraction is now 2/3 of the original fraction --> x−6/y=2/3∗2/3x--> x/y−6/y=4/9--> 2/3−6/y=4/9 --> 6/y=2/9--> y=27--> x27=23x27=23 --> x=18x=18.
E.
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