The sum of two numbers is 17. One number is 7 less than the other. What are the two numbers?

5 and 12

Step-by-step explanation:

First, set up an equation. Since it says that one number is 7 less than the other, we can use x for the number that is 7 less than the other number, and x+7 to represent the other number. We set the equation equal to 17 because the question says that the sum of two numbers is 17.

x+x+7=17

Then, you solve the equation:

x+x+7=17

2x+7=17

2x=10

x=5.

So, the number that is 7 less than the other number is 5. To find the other number, we would add 7 to 5 because the other number would be 7 more than 5.

7+5=12

The two numbers are 5 and 12.