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

1 Answer
Apr 13, 2018

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.