Question

If 3 is added to the numerator and 2 is subtracted from the denominator,then the fraction becomes=1. If 1 is subtracted from its numerator and 2 is added to denominator,then the fraction becomes=1/9. Find the rational number.

Answer 1

$\frac{ n+ 3}{ d- 2} = 1 \\ n + 3 = d - 2 \\ d - n = 3 + 2 \\ d - n = 5 \\ \\ \\ therefore \: n \: is \: (d - 5) \: and \\ d \: is \: (5 + n)$