Hi all.
I'm trying to figure out the following problem:
Find the number of positive integers not exceeding 1000 that are divisible by 3 but not by 4.
Help will be appreciated. Looking for a simple/elementary proof.
Thanks.
Hello, pollardrho06!
Find the number of positive integers not exceeding 1000
that are divisible by 3 but not by 4.
Every third number is divisible by 3.
. . There are: . numbers divisible by 3.
But every twelfth number is divisible by 3 and by 4.
. . There are: . multiples of 3 which are divisible by 4.
Therefore, there are: . such numbers.