Question

Question #b5a9e

Answer 1

10 and 22 total 32 but have a difference of 12.

Explanation:

First, let's call our two numbers `x` and `y`.

We know from the problem:

`x + y = 32`

We also know:

`x - y = 12`

Next, solve the first equation for `x`:

`x + y - y = 32 - y`

`x + 0 = 32 - y`

`x = 32 - y`

Now we can substitute `32 - y` for `x` in the second equation and determine the value of `y`:

`(32 - y) - y = 12`

`32 - 2y = 12`

`32 - 32 - 2y = 12 - 32`

`0 - 2y = -2`

`-2y = -20`

`(-2y)/-2 = (-20)/(-2)`

`y = 10`

We can now substitute `10` for `y` in the solution for the first equation and calculate `x`:

`x = 32 - 10`

`x = 22`