SOLUTION: The denominator of a fraction exceed the numerator by 12. If 2 is subtract from the numerator of the fraction of the numerator is unchanged. The value of the resulting fraction bec

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Question 1104792: The denominator of a fraction exceed the numerator by 12. If 2 is subtract from the numerator of the fraction of the numerator is unchanged. The value of the resulting fraction became 1/2. Find the original fraction.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite this to make sense
n%2Fd = the original fraction
:
The denominator of a fraction exceed the numerator by 12.
d = n + 12
If 2 is subtracted from the numerator of the fraction, the value of the resulting fraction became 1/2.
%28n-2%29%2Fd = 1%2F2
cross multiply
d = 2(n-2)
replace d with (n+12)
n + 12 = 2n - 4
12 + 4 = 2n - n
16 = n
therefore
d = 16 + 12
d = 28
Find the original fraction.
16%2F28
:
:
Check in the statement
"If 2 is subtracted from the numerator of the fraction, the value of the resulting fraction became 1/2.
14%2F28 = 1%2F2