Question

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

Answer 1

Answer:

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:

$(200-y)-y=82$

$200-2y=82$

$2y=200-82$

$2y=118$

$y=59$

$x=200-59$

$x=141$