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The letters A, B, C, D, E, and F represent digits and ABC,DEF represents a positive six-digit integer. What is the number ABC,DEF if 4(ABC,DEF) = 3(DEF,ABC)?

 Jan 29, 2024
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\(400000a+40000b+4000c+400d+40e+4f=300000d+30000e+3000f+300a+30b+3c\)

\(3997(\overline{abc})=2996(\overline{def})\)

\(\overline{abcdef} = 29963997\)

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 Jan 30, 2024

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