the larger of the two numbers is nine more than the smaller number. If the sum of the number is 17, find the two numbers. Write your answer as two numbers separated by a comma

4, 13

Step-by-step explanation:

Let's name these two numbers as a and b, where a is the larger number.

We know that:

a = b + 9

a + b = 17

This should be enough information to solve. Because of the transitive property, you can replace the a in the second equation with (b + 9) to solve for b:

(b + 9) + b = 17

2b + 9 = 17

2b = 8

b = 4

Now, since b, the smaller number, is 4, you can deduce that the larger number is 13, because 4 + 9 = 13.