Difference between revisions of "1951 AHSME Problems/Problem 37"
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Revision as of 13:45, 2 February 2013
Problem 37
A number which when divided by leaves a remainder of , when divided by leaves a remainder of , by leaves a remainder of , etc., down to where, when divided by , it leaves a remainder of , is:
Solution
If we add to the number, it becomes divisible by . The LCM of throught is , therefore the number we want to find is