help, i need sum answer please?

Question

The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.

x + y = 82
x – y = 24
48 and 24

x – y = 82
x + y = 24
52 and 30

x + y = 24
y – x = 82
48 and 30

x + y = 82
x – y = 24
53 and 29

Answer 1

x + y = 82
x - y = 24

add the two together for 2x = 106
therefore x = 53

substitute back into either equation:

(53) + y = 82
y = 29

Answer 2

Add the 2 equations to get
2x = 106
x = 53.
Then 53+x = 82
so x = 29.
Check: 53-29 = 24.