Question

The world's oldest bride was 19 years older than her groom. Together, their ages totaled 185 years. How old were the bride and the groom?

Answer 1

x = bride age
y = grooms age

`\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`
The bride is 102 years old, while the groom is 83 years old.

Answer 2

(x+19)=x

(x+19)+x= 185
x+x+19=185
2x= 185-19
2x=166
x=83

the oldest bride is x+19
83+19= 102