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 _.

[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