Double Logic Sequence

Find the Next Number in the Sequence

2 9 3 1 8 4 3 6 5 7 ?




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The below mentioned letters have been placed in a order using a logic.

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In the addition below, all digits have been replaced by letters. Equal letters represent equal digits and different letters represent different digits.
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BBDCAA
ABEABB
ABDBAA
------- +
AAFGBDH
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Things are just as they seem, right? Well, check again.
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