One number is seven more than twice another. If their sum is decreased my ten the result is twelve. Find the numbers

5, 17

Step-by-step explanation:

For this problem, you need to create a system of equations.

We can name one number x and the other y.

First equation: 2x + 7 = y

Second equation: x + y - 10 = 12, or x + y = 22.

We know y = 2x + 7, so we can substitute that into the second equation.

x + 2x + 7 = 22.

3x = 15

x = 5.

Plug x back into the first equation:

2 · 5 + 7 = y.

y = 10 + 7

y = 17.