Juan wants to find two numbers such that their sum is 33 and their difference is 13. the equations that will him find the answer are _ and _. the two numbers are _ and _.

The equations are a + b = 33 and a - b = 13

The numbers are 23 and 10

Step-by-step explanation:

Let the numbers be a and b.

Their sum is 33 and their difference is 13

We have sum of a and b is 33 that is

              a + b = 33

We have difference of a and b is 13 that is

              a - b = 13

Adding both equations

              a + b + a - b = 33 +13

               2a = 46

                 a = 23

            23 + b = 33

                   b = 10

The numbers are 23 and 10