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If a, b, c are positive integers less than 13 such that

2ab + bc + ca = 0 (mod 13)

ab + 2bc + ca = 2abc (mod 13)

ab + bc + 2ca = 3abc (mod 13)

then determine the remainder when a + b + c is divided by 13.

 May 6, 2022
 #1
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See the solution here:  https://web2.0calc.com/questions/modular-number-theory#r6

 May 7, 2022

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