Northeastern WOOTers Mock AIME I Problems/Problem 2
Problem 2
It is given that can be written as the difference of the cubes of two consecutive positive integers. Find the sum of these two integers.
Solution
Let the smaller integer be . Then
It is given that can be written as the difference of the cubes of two consecutive positive integers. Find the sum of these two integers.
Let the smaller integer be . Then
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