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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Hint
What can digit 4 be?
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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