Question

The numerator and the denominator of a fraction are in the ratio 3:2. I 3 is added to the numerator
and 2 is subtracted from the denominator, a new fraction is formed whose value is Find the original
fraction​

Answer 1

$\large{\underline{\underline{\bf{thanks}}}}$

First, form a system of equations. From the problem, we can construct two equations:

x/y=3/2

(x+3)/(y-2)=9/4

Then you isolate one variable from one equation:

x=(3y)/2

(x+3)/(y-2)=9/4

Substitute x with using the new equation to form one equation with only one variable. Solve for that equation.

(1.5y+3)/(y-2)=9/4

1.5y+3=2.25y-4.5

7.5=.75y

y=10

Plug that value into one equation and solve for the variable.

x/(10)=3/2

x=15

So the fraction is 15/10.

Answer 2

SOLUTION:-

let neumorator and denominator be 3x 2x

Atq

3x+3/2x-2 = 9/4

12x+12 18x 18

12x-18x -18-12

-6x = -30

X= 5

neumorator = 3x5 = 15

denominator = 2x5 = 10

fraction= 15/10

=3/2