Well, you did claim that the problem could be worked out with simply high school math. It would certainly be 'interesting' if such problems could not be answered by automated means.
(For example, I think many mathematicians would find the IMO problems interesting, even though the statements are specifically chosen to be understandable to high-school students.) The problem of how to write an automated procedure that might answer problems similar to the one you stated, and what kinds of "hints" might then be needed to make the procedure work for any given instance of the problem, is also interesting for similar reasons.
(For example, I think many mathematicians would find the IMO problems interesting, even though the statements are specifically chosen to be understandable to high-school students.) The problem of how to write an automated procedure that might answer problems similar to the one you stated, and what kinds of "hints" might then be needed to make the procedure work for any given instance of the problem, is also interesting for similar reasons.