SOLUTION: The numerator and the denominator of a certain fraction are consecutive odd numbers. If nine is subtracted from the numerator, then the ratio of the numerator to the denominator of

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Question 972608: The numerator and the denominator of a certain fraction are consecutive odd numbers. If nine is subtracted from the numerator, then the ratio of the numerator to the denominator of the new fraction is two to three. Find the original fraction.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The numerator and the denominator of a certain fraction are consecutive odd numbers.
n%2F%28%28n%2B2%29%29
:
If nine is subtracted from the numerator, then the ratio of the numerator to the denominator of the new fraction is two to three.
%28%28n-9%29%29%2F%28%28n%2B2%29%29 = 2%2F3
cross multiply
3(n-9) = 2(n+2)
3n - 27 = 2n + 4
3n - 2n = 4 + 27
n = 31
:
Find the original fraction.
31%2F33
:
:
Check this, subtract 9 from the numerator, reduce fraction
22%2F33 = 2%2F3