Question

the denominator of a fraction is greater than its numerator by 3.If 3 is subtracted from numerator and 2 is added to denominator,the new fraction is 1/5.find the numarator and denominator of original fratction . And check your solution...

Answer 1

Answer:

Let the numerator of the fraction =x

Then denominator=3+x

So, fraction will be

Step-by-step explanation:

So, fraction will be

3+x

x

New fraction:

numerator =x-2

denominator=12+x+7

=19+x

So, fraction will be

19+x

x−2

19+x

x−2

=

2

1

2(x−2)=19+x

2x−x=19+4

x=23

So, old fraction is

12+23

23

=

35

23

and new fraction is,

19+23

23−2

=

42

21

=

2

1