Suppose a, b, and c are positive integers less than 11 such that

3a + b + c ≡ abc (mod 11)

a + 3b + c ≡ 2abc (mod 11)

a + b + 3c ≡ 4abc (mod 11)

What is the sum of all the possible values of abc?

asked by guest
on Nov 15, 2024 at 10:38 pm



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