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What is a 9 digit number using digits 1-9 that is divisible by 9, if you take away the last digit is divisible by 8 etc

 Apr 27, 2014

Best Answer 

 #1
avatar+6251 
+5

you can build this up from the left

one such number is

123654321

1236543219=13739369

123654328=1545679

12365437=176649

1236546=20609

123655=2473

12364=309

1233=41

122=6

11=1

if you just work this backwards you can see how it's constructed.  Just make sure your condition is met each time you add a new digit.

 Apr 28, 2014
 #1
avatar+6251 
+5
Best Answer

you can build this up from the left

one such number is

123654321

1236543219=13739369

123654328=1545679

12365437=176649

1236546=20609

123655=2473

12364=309

1233=41

122=6

11=1

if you just work this backwards you can see how it's constructed.  Just make sure your condition is met each time you add a new digit.

Rom Apr 28, 2014
 #2
avatar+118703 
0

COOL !    THANKS ROM!

 

I LIKED THE QUESTION TOO!

 Apr 28, 2014

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