Question

The sum of two numbers is 82. Their difference is 26. What are the numbers?

Answer 1

Answer: 54 and 28.

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":

`x + y = 82\\\\x - y = 26`

You can then use elimination to solve for x.

Simply add the equations given to get:

`2x = 108`, 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:

`54 - y = 26\\y = 28`

So, the numbers are 54 and 28.