Question

Find two numbers x and y with a sum of 200 and a difference of 82

Answer 1

Let x be the bigger number, and y be the smaller number.

`x+y=200`

`x=200-y`

Since the difference is 82,

`x-y=82`

Substitute x in:

`(200-y)-y=82`

`200-2y=82`

`2y=200-82`

`2y=118`

`y=59`

`x=200-59`

`x=141`