Question 446534
Let x = the first number; which means that x - 4 is the second number.  Since we know the product of the two numbers is 32, that means that if you multiply them together, you get 32.  Here's the equation:

x (x - 4) = 32

Let's expand the left side:

{{{x^2 - 4x = 32}}}

And, solving for x we have:
{{{x^2 - 4x - 32 = 0}}}

Then, factoring, we have:

{{{x^2 - 4x - 32 = 0}}}
(x-8)(x+4) = 0
x = 8 or x = -4

In the first case, where x = 8, that would mean that x - 4 = 8 - 4 = 4.  And, 8 times 4 is 32.  So the pair of 8 and 4 works.

In the second case, where x = -4, that would mean that x - 4 = -4 - 4 = -8.  And, -4 times -8 is again 32.  So the pair -4 and -8 works.