Answer :
Answer:
the two numbers are 14 and 4
Step-by-step explanation:
let the two numbers be x and y
as per given:
x + y = 18 (1)
x * y = 56 (2)
from equation (1)
x = 18 - y (3)
substituting value of x in equation (2)
(18 - y) * y = 56
18y - y² = 56
y² - 18y + 56 = 0
y² - 14y - 4y + 56 = 0
y(y - 14) - 4(y - 14) = 0
(y - 4)(y - 14) = 0
i.e.
y = 4 or y = 14
by substituting values of y in equation (3)
x = 18 - 4, x = 18 - 14
x = 14, x = 4
thus,
the two numbers are 14 and 4
