Answer:
One number is 5 and the other is 1.
Step-by-step explanation:
Let the numbers be x and y. Then x + y = 6 and x - y = 4. We must solve this system of equations:
x + y = 6
x - y = 4
Combining these equations temporarily eliminates y:
x + y = 6
x - y = 4
--------------
2x = 10
Then x = 5. Since x - y = 4,
5 - y = 4
and so y must be 1.
The solution is (5, 1). One number is 5 and the other is 1.
