How Can the Chinese Remainder Theorem Be Applied to Diophantine Equations?

[matqkks]

Chinese Remainder Theorem
What is the most tangible way to introduce the Chinese Remainder Theorem? What are the practical and really interesting examples of this theorem. I am looking for examples which have a real impact on students.

 

[chisigma]

Chinese Remainder Theorem
What is the most tangible way to introduce the Chinese Remainder Theorem? What are the practical and really interesting examples of this theorem. I am looking for examples which have a real impact on students.

http://mathhelpboards.com/number-theory-27/applications-diophantine-equations-6029.html#post28283

Kind regards$\chi$ $\sigma$