Question

The numerator of fraction is 2 less than the denominator. If 1 is added to both numerator and denominator the sum is 19/15. Find the fraction.

Answer 1

let denominator be x
so numerator is x-2
then the fraction is (x-2)/x
if 1 is added to both for numerator and denominator then
( x-2+1 ) / x+1
(x-1) + x+1 = 19/15
2x = 19/15
x = 19 / 30
hope this helped you

Answer 2

Answer:3/5

Step-by-step explanation:

let the numerator be x then,

denominator will be x+2.

according to given condition we get

x/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