Let's call "the myster number" x, so five times the mystery number will be equal to 5x, then we will subtract 27 from 5 times the mystery number and that will be equal to, 5x-27 and that is equal to 83, so let' solve :
[tex]5x-27=83\\ 5x-27+27=83+27\\ 5x=110\\ \frac { 5x }{ 5 } =\frac { 110 }{ 5 } \\ x=22\\ The\quad mystery\quad number\\ is\quad 22[/tex]