Final answer:
To find two numbers whose product is 54 and the sum is 15, use algebra and the substitution method to solve the equations.
Step-by-step explanation:
To find two numbers whose product is 54 and the sum is 15, we can use algebra. Let's assume the two numbers are x and y.
We know that xy = 54 and x + y = 15.
We can use the substitution method to solve the equations.
Since x + y = 15, we can rewrite it as x = 15 - y and substitute it into the first equation:
(15 - y)y = 54
Expanding and rearranging, we get y^2 - 15y + 54 = 0
Factorizing, we get (y - 6)(y - 9) = 0
So, the two numbers are y=6 and y=9.