Question

the denominator of a fraction exceeds it's numerator by 3.if one is added to both numerator and denominator, the difference between the new and the original fraction is 1/24. find the original fraction

Answer 1

Answer:

Step-by-step explanation:

now,

let the numerator be x

let the denominator be (x+3)

now the fraction=x/x+3

now,

if 1 is added to both of them  

= numerator = x+21

=denominator=x+3+1=x+4

and they become 1/24

ATP,

x+1/x+4=1/2 4

by cross multiplication .

x+4=24(x+1)

=x+4=24x+24

=x-24x=4-24

= -23x= -20

x=20/23