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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)?

 Aug 25, 2020
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The number you are looking for is: 428,571. So that:

 

4 * 428,571 = 3 * 571,428

1,714,284 =1,714,284

Note:The above number is an abbreviated version of this "Special Number":

142,857 * 2 =285,714 - Same digits in different order.

142,857 * 3 =428,571 - Same digits in different order.

142,857 * 4 =571,428 - Same digits in different order.

142,857 * 5 =714,285 - Same digits in different order.

142,857 * 6 =857,142 - Same digits in different order.

142,857 * 7 =999,999  !!!

 Aug 26, 2020

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