If 1 is added to the numerator and to the denominator of a fraction,the value obtained is 4/5.If 5 is subtracted from it's numerator and from it's denominator, the resulting value is 1/2.Find the fraction.
Let n and d represent the numerator and denominator of the fraction. .. (n +1)/(d +1) = 4/5 .. (n -5)/(d -5) = 1/2 Eliminating fractions from these equations gives .. 5(n +1) = 4(d +1) .. 2(n -5) = (d -5) Subtracting the first equation from 4 times the second gives .. 4(2(n -5)) -(5(n +1)) = 4(d -5) -(4(d +1)) .. 8n -40 -5n -5 = 4d -20 -4d -4 .. 3n = 21 .. n = 7 .. 2(7 -5) = d -5 .. 9 = d
