SOLUTION: The denominator of a fraction is 6 more than the numerator . If one is added to numerator and 3 is subtracted from the denominator , it becomes 3/4. Find the fraction.
Algebra ->
Linear-equations
-> SOLUTION: The denominator of a fraction is 6 more than the numerator . If one is added to numerator and 3 is subtracted from the denominator , it becomes 3/4. Find the fraction.
Log On
Question 754131: The denominator of a fraction is 6 more than the numerator . If one is added to numerator and 3 is subtracted from the denominator , it becomes 3/4. Find the fraction. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The denominator of a fraction is 6 more than the numerator . If one is added to numerator and 3 is subtracted from the denominator , it becomes 3/4. Find the fraction.
.
Let n = numerator
then
n+6 = denominator
.
(n+1)/(n+6-3) = 3/4
(n+1)/(n+3) = 3/4
cross-multiply:
4(n+1) = 3(n+3)
4n+4 = 3n+9
n+4 = 9
n = 5 (numerator)
.
denominator:
5+6 = 5+6 = 11
