Question

The numerator of a number is 6 more then it's denominator. If the numerator is increased by 5 and the denominator is decreased by 1, the fraction becomes 3/2. Find the fraction

Answer 1

let the numerator be x
           denominator be y
acc to ques   x=y+6
                     x-y=6     -----(1)
x+5/y-1=3/2
2x+10=3y-3
2x-3y= -13      --------(2)
solving (1) and (2)
y=25
=> x=6+25
x=31
therefor the fraction is 31/25

.............hope it helps.............