Answer:
Let x be the bigger number, and y be the smaller number.
[tex]x+y=200[/tex]
[tex]x=200-y[/tex]
Since the difference is 82,
[tex]x-y=82[/tex]
Substitute x in:
[tex](200-y)-y=82[/tex]
[tex]200-2y=82[/tex]
[tex]2y=200-82[/tex]
[tex]2y=118[/tex]
[tex]y=59[/tex]
[tex]x=200-59[/tex]
[tex]x=141[/tex]
