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2000 + A(100) + B(10) + C = 17*ABC
2000 + A(100) + B(10) + C = 17*(A(100) + B(10) + C)
2000 = 17*(A(100) + B(10) + C) - (A(100) + B(10) + C)
2000 = (17 - 1) (A(100) + B(10) + C)
2000 = (16) (A(100) + B(10) + C)
2000 / 16 = A(100) + B(10) + C
125 = A(100) + B(10) + C
Entonces
A = 100
B = 20
C = 5
125 = ABC