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?
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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.