Puzzle: sum of some numbers
June 3, 2007 pm30 7:15 pm
There is a 5-digit number which is the sum of all 3 digit numbers made from its digits. What is it?
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JD2718 
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Observations so far…
–> The sum of all the 3 digit numbers made from the 5 digits is 12*(100+10+1)*(the sum of the digits in the 5 digit number).
–> The 5 digit number is even.
–> The sum of the digits of the 5 digit number is at least 8..
–> The 5 digit number is divisible by 1332.
Trial and error should work from there… More later…
— Rachel
And if I had been clever I’d have noticed that since 1332 was a multiple of 9, the sum of the digits of the 5 digit number would have to be a multiple of 9, which would have limited the trials and errors I needed…
— Rachel