Let [tex]b=[/tex] Ben's age Let [tex]d=[/tex] Daniel's age
We know: [tex]b=d+20[/tex] and [tex]b-3=3(d-3)[/tex]
Plug the value of [tex]b[/tex] into the second equation: [tex](d+20)-3=3(d-3)[/tex] [tex]\rightarrow d+17=3d-9[/tex] [tex]\rightarrow-2d+17=-9[/tex] [tex]\rightarrow-2d=-26[/tex] [tex]\rightarrow d=13[/tex]
Since Ben is 20 years older than Daniel, Ben is 13+20=33 years old.