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Number Theory Level pending

Given a b c , d e f { \overline { abc,def } } be the six digits positive integer number such that a b c , d e f { \overline { abc,def } } - d e f , a b c { \overline { def,abc } } =1,998.What is the sum of every a b c { \overline { abc } } .


The answer is 494349.

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