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.'	Choose the correct choice
A) 9
B) 10
C) 16
D) 7
E) 18
The ratio of a numerator to denominator is 2:3 --&gt; x/y=2/3   If six is subtracted from the numerator, the new fraction is now 2/3 of the original fraction --&gt; x−6/y=2/3∗2/3x--&gt; x/y−6/y=4/9--&gt; 2/3−6/y=4/9 --&gt; 6/y=2/9--&gt; y=27--&gt; x27=23x27=23 --&gt; x=18x=18.   Answer: 18.
<result>E</result>
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.'