999 - 100 + 1 = 900 There are 900 numbers between 100 and 999 (inclusive)
We group the numbers into groups of 3s. So we find one number divisible by 3 in every group. Number of numbers that can be divided by 3 = 900 ÷ 3 = 300 Number of numbers that can be divided by 3 = 300
We group the numbers into groups of 4s. So we find one number divisible by 4 in every group. Number of numbers that can divided by 4 = 900 ÷ 4 = 225 Number of numbers that can divided by 4 = 225 Among the group of 4s, there is 1/3 that are already inclusive in divisible by 3. 225 ÷ 3 = 75 Number of numbers that can divided by 4 = 225 - 75 = 150
Total numbers of positive integers divisible by three and fours = 300 + 150 = 450
