Answer:
30 numbers
Step-by-step explanation:
Two-digit numbers divisible by 2 are basically just the even two-digit numbers: 10, 12, 14,...96, 98.
Let's collectively divide all these numbers by 2:
10/2 , 12/2 , 14/2 , ... 96/2 , 98/2
5, 6, 7, ... 48, 49
Now subtract 4 from each of them:
5 - 4, 6 - 4, 7 - 4, ... , 48 - 4, 49 - 4
1, 2, 3, ... , 44, 45
So there are 45 multiples of 2 that are two-digit numbers.
The numbers that are both multiples of 2 and 3 are those that are multiples of 6:
12, 18, 24, ... , 96
We want to count how many there are, so divide all these numbers by 6:
12/6 , 18/6 , 24/6 , .... , 96/6
2, 3, 4, .... , 16
There are 15 numbers that are multiples of 2 and 3, so subtract 15 from 45: 45 - 15 = 30
The answer is 30.
Hope this helps!
