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Digit Reversal And Subtraction (Posted on 2008-09-10) Difficulty: 3 of 5
N is a 3-digit positive integer (with no leading zeroes) divisible by 3, such that by reversing the digits of N/3 and subtracting 1 from the result, we will obtain N.

Determine all possible value(s) of N.

Bonus Question:

If the number of digits in N is > 3, with all the other conditions remaining the same, what is the minimum value of N?

Note: While a solution is trivial with the aid of a computer program, show how to derive it without one.

See The Solution Submitted by K Sengupta    
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  Subject Author Date
Bonus Questioned bottemiller2008-09-10 17:04:36
Solutionanalytical solutionpcbouhid2008-09-10 15:17:05
Originaled bottemiller2008-09-10 14:20:00
Solutionvalue(s) of N (partial spoiler)Dej Mar2008-09-10 13:45:23
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