The product of two whole numbers is 378 and their sum is 41. What are the two numbers?

14 and 27

Step-by-step explanation:

14 x 27 = 378

14 + 27 = 41

Step-by-step explanation:

Let the number be x and y

xy = 378 ... (1)

x + y = 41 ... (2)

Making y as subject in (2)

y = 41 - x ... (3)

Substitute it in (1)

x (41 - x) = 378

41x - x² = 378

x² - 41x + 378 = 0

x² - 27x - 14x + 378 = 0

(x² - 27x) - (14x - 378) = 0

x (x - 27) - 14 (x - 27) = 0

(x - 14) (x - 27) = 0

x - 14 = 0 or x - 27 = 0

x = 14 or x = 27

And y = 41 - x

When x = 14

y = 41 - 14 = 27

y = 27

When x = 27

y = 41 - 27 = 14

y = 14