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The Four-digit Number ABCD

Math brain teasers require computations to solve.

 

Puzzle ID:#48626
Fun:*** (2.62)
Difficulty:*** (2.58)
Category:Math
Submitted By:shenqiangAcn****!!

 

 

 



There is a four-digit number ABCD, where A, B, C, D each represents a different digit from 1 to 9.

If ABCD is divisible by 13, BCDA is divisible by 11, CDAB is divisible by 9, and DABC is divisible by 7, what is the original number ABCD?

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