Find smallest integer s.t. when div. by 15, remainder is 14, and likewise when...

pcp

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Jun 6, 2018
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Please help with a question I was asked today:


Find the smallest positive integer such that when divided by 15 the remainder is 14, and likewise when you divide by 16, 17, 18, 19, and 20, the remainders are 15, 16, 17, 18 and 19 respectively.


Thanks in advanced.
 
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