Guest Posted January 14, 2010 Report Share Posted January 14, 2010 (edited) Find the 9 digit number it 1. digits 1-9 appear once 2. the whole number is divisible by 9 3. remove the last digit of the whole number and it will be divisible by 8 4. remove the last 2 digits from the whole number and it will be divisible by 7 5. this pattern will continue to a single digit This is kinda what i mean abcdefghi/9 abcdefgh/8 abcdefg/7 What is the 9 digit number? Edited January 14, 2010 by laine Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 14, 2010 Report Share Posted January 14, 2010 If I understand this... 381654729 381654729 / 9 = 42406081 38165472 / 8 = 4770684 3816547 / 7 = 545221 381654 / 6 = 63609 38165 / 5 = 7633 3816 / 4 = 954 381 / 3 = 127 38 / 2 = 19 3 / 1 = 3 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 14, 2010 Report Share Posted January 14, 2010 134568729 9 14952081 13456872 8 1682109 1345687 7 192241 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 14, 2010 Report Share Posted January 14, 2010 134568729 9 14952081 13456872 8 1682109 1345687 7 192241 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 14, 2010 Report Share Posted January 14, 2010 If I understand this... I also got 381654729 to be the answer. I used a pretty obtuse method for solving this problem, though. Would anyone be willing to share how they found the answer? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 14, 2010 Report Share Posted January 14, 2010 I used a simple program running 9 for loops. 5 using odd numbers only and 4 using even, and tested all the combinations. It took 2 mins to write and 5 seconds for my comp to spit it out. If I understand this... I also got 381654729 to be the answer. I used a pretty obtuse method for solving this problem, though. Would anyone be willing to share how they found the answer? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 14, 2010 Report Share Posted January 14, 2010 I have a simple solution 1 is divisible by1 12 is divisible by 2 123 is divisible by 3 1234 is divisible by 4 12345 is divisible by 5 123456 is divisible by 6 1234567 is divisible by 7 12345678 is divisible by 8 123456789 is divisible by 9 Any mistake in this? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 14, 2010 Report Share Posted January 14, 2010 I think the spirit of the OP was that the numbers would divide into integer numbers. While 1234 is divisible by 4, the solution has a fractional part. I have a simple solution 1 is divisible by1 12 is divisible by 2 123 is divisible by 3 1234 is divisible by 4 12345 is divisible by 5 123456 is divisible by 6 1234567 is divisible by 7 12345678 is divisible by 8 123456789 is divisible by 9 Any mistake in this? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 14, 2010 Report Share Posted January 14, 2010 381654729 Quote Link to comment Share on other sites More sharing options...
0 roolstar Posted January 14, 2010 Report Share Posted January 14, 2010 (edited) Is the second condition (divisible by 9) needed in this case? It goes without saying, doesn't it? Edited January 14, 2010 by roolstar Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 14, 2010 Report Share Posted January 14, 2010 134568729 9 14952081 13456872 8 1682109 1345687 7 192241 Quote Link to comment Share on other sites More sharing options...
Question
Guest
Find the 9 digit number it
1. digits 1-9 appear once
2. the whole number is divisible by 9
3. remove the last digit of the whole number and it will be divisible by 8
4. remove the last 2 digits from the whole number and it will be divisible by 7
5. this pattern will continue to a single digit
This is kinda what i mean
abcdefghi/9
abcdefgh/8
abcdefg/7
What is the 9 digit number?
Edited by laineLink to comment
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