What is the greatest possible sum of two consecutive integers whose product is less than 400?
We could do some math here....but note that (20) (20) = 400 and (-20)(-20) = 400
This must imply that
(19)(20) < 400 and
(-20) (-19) < 400
So the sum is either 39 or -39
39 is the one we need
39 because the square of 400 is 20, so we have to be consecutive, so 20+19=39
Nice, both of you!
