Question

the denominator of a rational number is greater than its numerator by 3.if the numerator is increased by 16 and the denominator is decreased by 1,then the number obtained is 5/3.find the rational number

Answer 1

let numerator=x
and denominator = x+3
if
x+16/(x+3)-1=5/3
x+16/x+2=5/3
by Cross multiplication
3x+48=5x+10
3x-5x=10-48
-2x =-38
x= 19
so rational number is
19/22