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Sum Numbers, Get Even (Digits)? (Posted on 2007-08-15) Difficulty: 3 of 5
P is a 17 digit positive integer and Q is obtained by writing the digits of P backwards. If neither P nor Q has leading zeroes, can P+Q include no even digits?

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (3 votes)

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re(2): solution | Comment 3 of 5 |
(In reply to re: solution by Charlie)

Some examples of the 5-digit case where the even digit(s) is/are not in the middle:

15681 + 18651 = 34332
18535 + 53581 = 72116
22496 + 69422 = 91918
23894 + 49832 = 73726
25164 + 46152 = 71316
28192 + 29182 = 57374
28452 + 25482 = 53934
28535 + 53582 = 82117
33772 + 27733 = 61505
48231 + 13284 = 61515
56972 + 27965 = 84937
57370 + 07375 = 64745
58141 + 14185 = 72326
66241 + 14266 = 80507
67791 + 19776 = 87567
68071 + 17086 = 85157
79330 + 03397 = 82727


  Posted by Charlie on 2007-08-15 11:55:08
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