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Puzzle ZIQX 



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What four-digit number has Digit 1 three smaller than Digit 4, which is one more than Digit 2, which is twice Digit 3, which is one more than one third of Digit 4?

Puzzle Copyright © Kevin Stone

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Answer
6849.

Reasoning
Digit 4 must be a multiple of 3:
   ???3
   ???6
   ???9

Digit 3 is one more than Digit 9 ÷ 3:
   ??23
   ??36
   ??49

Digit 2 is twice Digit 3:
   ?423
   ?636
   ?849

But Digit 4 is one more than Digit 2, which only leaves:
   ?849

And Digit 1 is three smaller than Digit 4:
   6849.

 

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