Answer: 54 and 28.
Step-by-step explanation:
You can represent this written set of rules into two equations, where the first equation represents "sum of two numbers is 82" and the second represents "difference is 26":
[tex]x + y = 82\\\\x - y = 26[/tex]
You can then use elimination to solve for x.
Simply add the equations given to get:
[tex]2x = 108[/tex], the Y's are "eliminated" from the equation because -1 + 1 = 0.
Solving for x, we get 54. You can substitute this value into one of the equations to find y:
[tex]54 - y = 26\\y = 28[/tex]
So, the numbers are 54 and 28.
