Answer:
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
