Question

The denominator of of a fraction is 2 more than its numerator. If numerator is reduced by 1 and denominator is increased by 1, the value of fraction becomes 1/2. Find the original fraction.

Answer 1

Answer:

Let the numerator of the fraction =x

Then denominator=12+x

So, fraction will be

12+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

Step-by-step explanation:

in photo and this one are same answer

Answer 2

Step-by-step explanation:

x /x+2

x-1/x+2+1

x-1/x+3=1/2

by cross multiply

2x-2/x+3