Answer:
5 and 8
Explanation:
Let's call the smaller number "x". According to the problem, the larger number is 3 greater than x, which means it can be written as "x + 3".
We also know that the product of these two numbers is 40, so we can set up the following equation:
x(x+3) = 40
Expanding the left side, we get:
x^2 + 3x = 40
Rearranging terms, we get a quadratic equation:
x^2 + 3x - 40 = 0
We can solve this equation using factoring or the quadratic formula.
Factoring:
(x + 8)(x - 5) = 0
So x = -8 or x = 5. We can reject the negative value since we're looking for two positive numbers, so the smaller number is 5 and the larger number is 5 + 3 = 8.
Therefore, the two numbers are 5 and 8.