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A six-digit number X = ABCDEF has distinct digits A, B, C, D, E, and F, none of which are zero.

(For clarity, "A" is the hundred thousands digit, "B" is the ten thousands digit, etc.) X has the following properties: 2X = CDEFAB, 3X = BCDEFA, 4X = EFABCD, 5X = FABCDE, and 6X = DEFABC. What is the value of X?

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Gina145 profile image89

Best Answer Gina145 says

4 years ago
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    TR Smith (calculus-geometry) 4 years ago

    Very nice work. 142857 is one of my favorite numbers.