Question 784937
 two numbers have a difference of 24.
x - y = 24
or
y = (x-24)
:
 Find the number if the result of adding their sum and their product is a minimum. 
(x+y) + xy
Replace y with (x-24)
x + x - 24 + x(x-24)
2x - 24 + x^2 - 24x
A quadratic equation
y = x^2 - 22x - 24
:
Minimum occurs at the axis of symmetry, 
x = {{{22/2}}}
x = 11,
find y
y = 11 - 24
y = -13
:
The two numbers: 11, -13