Among all pairs of numbers whose difference is 88, find a pair whose product is as small as possible.

Answer 1

I bet one of the numbers is zero.

Answer 2

-44 and 44.

Answer 3

This can also be solved by doing:

x-y = 88
min x*y.

x = 88+y, so you get

minimize x^2+88x,
which can be done with calculus.