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

workings
hint
answer
print

Share link – www.brainbashers.com/puzzle/ziqx

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.