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Integer Equations (Posted on 20070325) 

Define [n] as the greatest integer less than or equal to n.
Given that x is a positive integer, determine analytically all possible solutions to each of the following equations:
(a) [x/3]+ [x/5] + [x/7] = 66
(b)[x/7]+ [x/11] + [x/13] = 245
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