If x and y are positive integers, and 2003x = 2004y, what is the least possible value of x? How would you solve this problem? How would you even think of where to start? When I see problems Like this I just freeze up!

Question

anonymous · Answer

the least possible value of x would be 1

anonymous · Answer

The answer book says 2004

anonymous · Answer

Oh yeah... forgot that both x and y must be integers

anonymous · Answer

But how would you figure out how to solve it?

anonymous · Answer

you must use division

anonymous · Answer

yes it must be 2004

anonymous · Answer

any lower number would make y a non integer

anonymous · Answer

how would you divide