1951 AHSME Problems/Problem 37
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