Answer: 3 and 12
Step-by-step explanation:
Let x represent one of the numbers and y represent the other number. Then,
Sum: x + y = 15 → y = 15 - x
Product: xy = 36
Use substitution method by replacing "y" with "15 - x" in the second equation, then solve for x:
x(15 - x) = 36
15x - x² = 36
0 = x² - 15x + 36
0 = (x - 3)(x - 12)
0 = x - 3 and 0 = x - 12
x = 3 x = 12
