Let x be the larger of the two numbers, and y be the smaller. We know that:
x + y = 2 (Equation 1)
x - y = 8 (Equation 2)
To solve this system of equations, we can use the method of elimination. Adding Equation 1 and Equation 2, we get:
2x = 10
Dividing both sides by 2, we get:
x = 5
Substituting x = 5 into Equation 1, we get:
5 + y = 2
Subtracting 5 from both sides, we get:
y = -3
Therefore, the two numbers are 5 and -3, and the answer is:
5 and -3