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.
a. x – y = 82 x + y = 24 52 and 30
b. x + y = 82 x – y = 24 48 and 24
c. x + y = 24 y – x = 82 48 and 30
d. x + y = 82 x – y = 24 53 and 29

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.
X+Y=82
X-Y=24 NOW ADD THESE 2 EQUATIONS

2X=106
X=106/2
X=53 SOLUTION

53+Y=82
Y=82-53
Y=29

53-29=24
24=24
SO THE ANSWER IS D.
HOPE I HELPED!!