posted by John .
The difference of the cubes of two consecutive odd positive integers is 400 more than the sum of their squares. Find the sum of the two integers.
Let the words numbers be be (x+2) and (x)
then we get equation
(x+2)^3 - x^3 - (2x^2 + 4x+ 4) = 400
(not solving further as this a sum of brilliant's this week challenge0