5 and 25.
The problem you've presented is a system of equations. We can use algebraic methods to solve it.Let's call the two natural numbers x and y. According to the information you've provided, we know that:x + y = 30 (the sum of the two numbers is 30)
x - y = 20 (the difference between the two numbers is 20)To find the product of the two numbers, we can multiply them together. So we want to find:x * y = ?To solve for x * y, we'll use the equations we have. We can start by adding the two equations together:(x + y) + (x - y) = 30 + 20
2x = 50
x = 25 Now that we know the value of x, we can substitute it back into one of the original equations to find the value of y:x + y = 30
25 + y = 30
y = 5 So the two natural numbers are 25 and 5. To find the product of the two numbers, we'll multiply them together:x * y = 25 * 5 = 125The product of the two numbers is 125.