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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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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re:===> ergo . . .hoodat2007-09-21 15:07:30
re(3):===>so?? [My bad] MAYBEAdy TZIDON2007-09-20 18:36:06
re(2):===>so?? [My bad]hoodat2007-09-20 15:34:10
re: Solution (using Excel) ===>so??Ady TZIDON2007-09-20 13:01:37
SolutionSolution (using Excel)hoodat2007-09-18 13:59:46
Hints/TipsHintPraneeth2007-09-17 00:32:58
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