Answer:
4 and 6
Explanation:
Let's say one of the numbers is x. That means the other number must be 10-x, because they add to 10.
We also know that the product of the numbers is 24, so
x(10-x)=24
10x-x^2=24
x^2-10x+24=0
After using the quadratic formula, we get x=6 or x=4.
If x is 6, then the other number is 10-6=4.
If x is 4, then the other number is 10-4=6.
Either way, the two integers are 4 and 6.