one number is 7 more than twice another number, the sum of the numbers is 22. what is one of the numbers?

One of the numbers is 5

The other number is 17

Step-by-step explanation:

You could do this just by guessing numbers. But I think you are intended to do it with algebra.

x + y = 22

y = 2*x + 7 Substitute the y value in this equation into the first equation

x + 2x + 7 = 22 Combine the xs on the left.

3x + 7 = 22 Subtract 7 from both sides.

3x+7-7=22 - 7 Combine

3x = 15 Divide by 3

3x/3 = 15/3 Combine

x = 5

x + y = 22 Substitute 5 for x

5 + y = 22 Subtract 5 from both sides.

5-5+y = 22-5

y = 17