One positive integer is 2 less than another. the product of the two integers is 24. what are the integers?

The numbers are 6 and 4

Step-by-step explanation:

Let x = integer

The second is x-2

Product of x * (x-2) is 24

x (x-2) = 24

Distribute

x^2 - 2x = 24

Subtract 24 from each side

x^2 - 2x - 24 = 24-24

x^2 - 2x-24 = 0

Factor

What two number multiply together to give 24 and add to - 2

-6*4 = - 24

-6+4 = - 2

(x-6) (x+4) = 0

Using the zero product property

x-6 = 0 x+4 = 0

x=6 x=-4

The question states the number is positive

x=6

The second number is x-2 = 4

The numbers are 6 and 4