9-digit Number Puzzle - Solution
The Puzzle:
What 9-digit number has the following features:
It has all 9 digits from 1 to 9
It can be exactly divided by 6 and 7
Each time it is rounded (starting with units, then tens, hundreds, etc) it rounds in an alternate pattern (up, down, up, ...), until after rounding 8 times the final number is 500000000
After rounding four times the sum of the digits is 24
Bonus: what is the solution if the rounding goes down, up, down, ...
Our Solution:
For rounding going up, down, up, ...
This solution is courtesy of Nasir Hassan:
536192748 (the solution)
536192750
536192700
536193000
536190000 (digits add to 24)
536200000
536000000
540000000
500000000 (final number)
And Ramon Fraterman found these solutions:
* 517294638
* 518372946
* 519273846
* 527194836
Bonus (rounding going down, up, down, ...) :
473816952 (the solution)
473816950
473817000
473817000
473820000 (digits add to 24)
473800000
474000000
470000000
500000000 (final number)