Answer:
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
