Answer:
Step-by-step explanation:
xy = 864
x + y = 60 Solve for y in the second equation
y = 60 - x
x * (60 - x) = 864 Remove the brackets.
60x - x^2 = 864 Put in order of powers and subtract 864
-x^2 + 60x - 864 =0 Multiply through by -1
x^2 - 60x + 864 = 0
This factors
(x - 36)(x - 24) = 0
Either
x - 36 = 0 in which case
x = 36
or
x - 24 = 0
x = 24
The two numbers are x = 36 and y = 24
of x = 24 and y = 36
