How many odd numbers between 10 and 105?




How many odd numbers between 10 and 105? You could just make a list of all the odd numbers between 10 and 105 and then count them, but what fun would that be?

Instead, we have created this simple process with a small formula to calculate exactly how many odd numbers there are between 10 and 105.

We start by determining the first odd number and last odd number between 10 and 105. The numbers between 10 and 105 start with 11 and end with 104. That means that the first odd number is 11 and the last odd number is 103.

Now you add 2 to the difference of the last odd number and the first odd number, and then divide the sum by 2. Here is the formula and the answer to "How many odd numbers between 10 and 105?"

N = (Last - First + 2) ÷ 2
N = (103 - 11 + 2) ÷ 2
N = 94 ÷ 2
N = 47
Odd numbers between 10 and 105 = 47


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