14. The numerator of a fracnumerator of a fraction is 2 less than the

1.	14. The numerator of a fracnumerator of a fraction is 2 less than the denominator. If 1 is added to both numerator anddenominator the sum of new and original fraction is Find the original fraction.15
Answer» let the numerator be x then, denominator will be x+2. according to given condition we getx/x+2 + x+1/x+2+1 = 19/15 solving this we get quadratic equation 11x²-5x-84=0 solving this we have x=3 original fraction = x / x+2= 3 / 3+2= 3/5 Ans: 3/5

14. The numerator of a fracnumerator of a fraction is 2 less than the denominator. If 1 is added to both numerator anddenominator the sum of new and original fraction is Find the original fraction.15

Answer»

let the numerator be x then, denominator will be x+2.

according to given condition we getx/x+2 + x+1/x+2+1 = 19/15

solving this we get quadratic equation 11x²-5x-84=0

solving this we have x=3

original fraction = x / x+2= 3 / 3+2= 3/5

Ans: 3/5