Explained the Chinese Remainder Theorem. <br>
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For more background on the Chinese Remainder Theorem take a look at the
wikipedia page <a
 href="http://en.wikipedia.org/wiki/Chinese_remainder_theorem">here</a>.

      
Also, take a look at <a
 href="http://www.youtube.com/watch?v=ru7mWZJlRQg">this youtube
explanation</a> which uses easily calculated numbers.
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By the way, the puzzle used to introduce the Chinese Remainder Theorem is due to Brahmagupta who was born 598 AD (see <a href="https://www.cut-the-knot.org/blue/chinese.shtml">here</a>), so please don't attribute its old-fashioned stereotypes to me. &#128578;