SOLUTION: A fraction is such that whose numerator is a 4 less than the denominator. If 1 is subtracted from numerator and 3 is added to the denominator, the fraction becomes 1/5. Find the or

Algebra ->  Finance -> SOLUTION: A fraction is such that whose numerator is a 4 less than the denominator. If 1 is subtracted from numerator and 3 is added to the denominator, the fraction becomes 1/5. Find the or      Log On


   

Question 1134884: A fraction is such that whose numerator is a 4 less than the denominator. If 1 is subtracted from numerator and 3 is added to the denominator, the fraction becomes 1/5. Find the original fraction.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A fraction is such that whose numerator is a 4 less than the denominator.
d = n+4
If 1 is subtracted from numerator and 3 is added to the denominator, the fraction becomes 1/5.
%28%28n-1%29%29%2F%28%28d%2B3%29%29 = 1%2F5
replace d with with n+4
%28%28n-1%29%29%2F%28%28n%2B4%2B3%29%29 = 1%2F5
%28%28n-1%29%29%2F%28%28n%2B7%29%29 = 1%2F5
cross multiply
5(n-1) = n + 7
5n - 5 = n + 7
5n - n = 7 + 5
4n = 12
n = 12/4
n = 3
then
d = 4 + 3
d = 7
Find the original fraction.
3%2F7
:
:
Check in the statement
"If 1 is subtracted from numerator and 3 is added to the denominator, the fraction becomes 1/5."
(3-1)/(7+3) = 2/10 = 1/5