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

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[tex]2x - 13 = 33 \\ 2x = 33 + 13 \\ 2x = 46 \\ \frac{2x}{2} = \frac{46}{2} \\ x = 23[/tex]
33-23=10. 10+23=33. 23-10=13
the numbers are 23 and 10
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Answer:

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            

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