Question

The denominator of a rational number is 3 more than its numerator. When 5 is added to its numerator,
and 2 is subtracted from its denominator, the simplest form of the rational number obtained is
3/2.
Find the original rational number.

If x is the numerator of the rational number, its denominator can be expressed as (x + ?(fraction)
).
So, the original rational number can be expressed as *( / )fraction​

Answer 1

Step-by-step explanation:

let numerator be x and denominator be y.

y=x+3

x+5/y-2=3/2

x+5/x+3-2=3/2

x+5/x+1=3/2

2x+10=3x+3

×=7

y=10