Select the set of equations that represents the following situation: The sum of two numbers is 77, and thei

Select the set of equations that represents the following situation: The sum of two numbers is 77, and their difference is nineteen less than the smaller number. What are the two numbers?

2y = 77; 77 = x – 19
2x = 77; 77 = x + 19
x + y = 77; x – y = 19 – x
x + y = 77; y – x = x – 19

x + y = 77; y – x = x – 19

x+y=77; y-x=x-19

x=77-y
y-(77-y) = 77-y -19
y-77+y = 58-y
3y = 58+77
y = 135/3 = 45
Therefore x = 77-y = 77-45 = 32