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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: Solution (using Excel) ===>so?? | Comment 3 of 6 |
(In reply to Solution (using Excel) by hoodat)

a.  your C  is wrong- not as defined

b. the final answers do not comply with the specs i.e d+b =6 ??you show that there are no numbers to fullfil the original requirements

  Posted by Ady TZIDON on 2007-09-20 13:01:37
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