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B,C from A (Posted on 2007-09-14) Difficulty: 3 of 5
A(=abcde) is a 5-digit natural number with no leading zeros and e>a. B(=eca), 3-digit natural number is a multiple of 9 while C(=db), 2-digit natural number is a multiple of 3 but not 9.
Show that x5-y5=A has no integer solutions if sum of digits of C is not 6.

Note: A(=abcde) means Ten Thousand's digit of A:a, Thousand's digit of A:b and so on unit's digit of A:e.

See The Solution Submitted by Praneeth    
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re(2):===>so?? [My bad] | Comment 4 of 6 |
(In reply to re: Solution (using Excel) ===>so?? by Ady TZIDON)

My mistake.  I was reading C = ab instead of C = db.

Either way, the two values derived for C ={83,36} still do not fit the parameters.
  Posted by hoodat on 2007-09-20 15:34:10

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