SOLUTION: For a parade a teacher arranged all the pupils of his class in rows of 12 and then in rows of 16. He noticed that each time 3 pupils were left out. Calculate the number of pupils i

Question 974165: For a parade a teacher arranged all the pupils of his class in rows of 12 and then in rows of 16. He noticed that each time 3 pupils were left out. Calculate the number of pupils in the class
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The number of pupils minus 3
is a multiple of , and is a multiple of .
So, it is a multiple of .
I would bet that the number of pupils minus 3 is
and that the number of pupils is .

NOTE:
Of course, it could be that the number of pupils minus 3 is
and that the number of pupils is ,
but this is a lot of pupils to have in one class,
It could be that the number of pupils minus 3 is
, or , or ....
but that would make the number of pupils be
, or , or ...
but those are even more ridiculously large numbers of pupils to have in one class.

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