Parrot chooses a three-digit positive integer 
and writes both its base-5 and base-6 representations on a blackboard. Later Wemmbu sees the two numbers Parrot has written. Treating the two numbers as base-10 integers, he adds them to obtain an integer 
. For example, if 
, Parrot writes the numbers 
and 
, and Wemmbu obtains the sum 
. For how many choices of are the two rightmost digits of , in order, the same as those of 
?