The product of two positive integer numbers is 24 and the sum of the same two numbers is 10.

4 and 6

Step-by-step 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.

Let numbers are x and y

Now,

X × y =24

•So the product of x and y =24

let x and y

4×6= 24

so we got our first answer that

the product of two positive integers (6×4) is 24

•let the number x and y

x+y =10

so now we have to take same number that is 6 and 4

so 6+4 =10