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Apr 23, 2013 at 7:31 comment added fretty Well yeah but under conditions described above (on gcd$(a,b)$) you can still do a similar thing just it isn't as straight-forward.
Apr 22, 2013 at 21:32 vote accept Maaz-ul-Haq
Apr 22, 2013 at 21:32 comment added Maaz-ul-Haq The question is for coprime moduli. It appears that this is it: Chinese remainder theorem with some basic algebra and modular arithmetic.
Apr 22, 2013 at 21:19 comment added Barry Cipra You can avoid a divisibity criterion and use the chinese remainder theorem only when the moduli are relatively prime. A better example would have used 10 and 14 instead of 5 and 7.
Apr 22, 2013 at 21:03 history answered fretty CC BY-SA 3.0