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Mathematics, 02.08.2019 13:00 xxaurorabluexx

Irecently (yesterday) took the amc 10a, can anyone me with this problem? for a positive integer n and nonzero digits a, b and c, let a_n be the n-digit integer each of whose digits is equal to a; let b_n be the n-digit integer whose digits is equal to b; let c_n be the 2n digit integer (not n digit) each of whose digits is equal to c. what is the greatest possible value of a + b + c for which there are at least two values of n such that c_n - b_n = a^2_n? *this was #25, and the questions have been posted to the art of problem solving website, so i'm guessing discussion is allowed.

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Irecently (yesterday) took the amc 10a, can anyone me with this problem? for a positive integer n...
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