One number is seven more than the other. Their sum is fifteen. Find the numbers.

The numbers are 4 and 11.

Step-by-step explanation:

If one number is 7 more than the other, you can express that as x+7 is equal to the other number which we can call "y".

If you add "y" which is basically x+7 to x, which is one of the numbers, your equation will be x+x+7=15.

Simplify: 2x+7=15.

Subtract 7 from both sides of the equation and you have 2x=8.

Divide by 2 on both sides and x is equal to 4.

You plug 4 back into the expression "x+7".

4 plus 7 is 11.