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Sum SOD And Integer, Get Reversal (Posted on 2008-09-03) Difficulty: 3 of 5
Three positive integers P, Q and R, each with no leading zeroes and having more than one digit, are such that:

(i) Q = P + sod (P), and:

(ii) R = Q + sod (Q), where: sod(x) = sum of the digits of x, and:

(iii) The digits of R are obtained by reversing the digits of P.

Determine all possible value(s) of P, that satisfy the given conditions.

Note: While a solution may be 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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re: Solution Comment 2 of 2 |
(In reply to Solution by Dej Mar)

Ty, Dej Mar.

I confirm having hyperliked your methodology in my solution.
  Posted by K Sengupta on 2008-09-12 12:25:27

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