Question

If 2 is subtracted from the numerator and 1 is added to the denominator a fraction becomes 1/2, but when 4 is added to the numerator and 3 is subtracted from the numerator it becomes 3/2
Find the fraction

Answer 1

Sorry I got that wrong in first attempt,
I hope there will be denominator in instead of numerator. :)

Still don't worry ,
Your question,is good and my approach is like this,

Thanks for your kind question.
I hope it will help you. Mark it brainliest if you agree by my answer.

Thank you :)

Answer 2

ANSWER

Find the fraction

As given

If 2 is subtracted from the numerator and 1 is added to the denominator a

$fraction\ becomes\ \frac{1}{2}$

let us assume that

the numerator be =x

the denominator be =y

than the equation becomes

$\frac{x-2}{y +1} = \frac{1}{2}$

simplify the above

2x - y =5

As given

when 4 is added to the numerator and 3 is subtracted from the numerator

$its\ becomes\ \frac{3}{2}$

than the equation

$\frac{x+4}{y -3} =\frac{3}{2}$

simplify the above

2x -3y = -17

than the equation are

2x -3y = -17 and 2x - y =5

subtracted the equation

2x- 2x -3y +y = -17 -5

2y =22

y =11

put in 2x - y =5

2x -11 = 5

2y = 16

$y = \frac{16}{2}$

y =8

$the\ fraction\ becomes \frac{8}{11}$

Hence proved