Problema Solution
the numerator of a fraction is 6 less than the denominator. if 3 is added to the numerator, the fraction is equal to 2/3. what is the original fraction equal to
Answer provided by our tutors
let x/y be the original fraction
x = numerator
y = denominator
the numerator of a fraction is 6 less than the denominator
x = y - 6
if 3 is added to the numerator, the fraction is equal to 2/3
(x + 3)/y = 2/3 cross multiply
3(x + 3) = 2y
by solving the system of equations
x = y - 6
3(x + 3) = 2y
we find
x = 3
y = 9
click here to see the step by step solution of the system of equations
the original fraction is 3/9.