The sum of two numbers is 82. their difference is 24. write a system of equations that describes this situation. solve by elimination to fiend the two numbers.

Let one number be x and the second number y
x + y = 82
x - y = 24 
To solve by elimination add the two equations together to get
2x = 106
x = 53

If one number is 53 substitute x=53 into the first equation.
53 + y = 82
y=82-53
y=29
Check in the other equation
53-29 = 24.

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