How many two-digit numbers are divisible by both 2 and 3?

1 Answer

#75# numbers are divisible by #2# and #3#.

Explanation:

The two digit numbers are #10# to #99#. So there are #90# two digit numbers. Half of them are even, so #45# two digit numbers are divisible by #2#.

The lowest two digit number divisible by #3# is #12#. And out of #90# numbers, every #3# is divisible by #3#. So there are #30# two digit number divisible by #3#.

So #45 + 30 = 75#.