soln,
[tex] \frac{x}{4} = 3 + \frac{x}{5} + 1[/tex]
[tex]or \: \frac{x}{4} = 4 + \frac{x}{5} [/tex]
[tex]or \: \frac{x}{4} = \frac{20 + x}{5} [/tex]
[tex]or \: 5x = 80 + 4x[/tex]
[tex]or \: 5x - 4x = 80[/tex]
[tex]therefore \: \: x = 80[/tex]
therfore, the numbers are 80 and (80+1) = 81.
