x = bride age
y = grooms age
[tex] \left \{ {{x+y=185} \atop {x=y+19}} \right. \\ (y+19)+y=185 \\ y+19+y+185 \\ 2y+19=185 \\ 2y+19-19=185-19 \\ 2y= 166 \\ y=83 \\ \\ x=y+19 \\ x=83+19 \\ x= 102[/tex]
The bride is 102 years old, while the groom is 83 years old.