The denominator of a fraction is five more than three times the numerator. If both numerator and denominator are decreased by five, the simplified result is 18. Find the original fraction.

Question

the end of the question said do not simplify

Answer 1

d = 5 + 3n

(n-5)/(d-5) = 18

n-5 = 18d -90

n-5 = 18(5+3n) -90

n-5 =90 + 54n -90

53n =-5

n = -5/53

d = 5-15/53 = 250/53

original fraction was (-5/53)/(250/53)