Let one number be x, and the other number be y.
x and y
Their sum = 100
x + y = 100
Their difference = 6
x - y = 6
x + y = 100 (1)
x - y = 6 (2)
x = y + 6
Subsitute this into equation 1
y + y + 6 = 100
Solve the equation
2y + 6 = 100
isolate y by subtracting 6
2y + 6 - 6 = 100 - 6
2y = 94
divide both sides by 2
2y/2 = 94 /2
y = 47
Now substitute y into one of the equations.
x - 47 = 6
x = 6+ 47
x = 53
The two numbers are 47, 53
