How many odd numbers between 64 and 138?




How many odd numbers between 64 and 138? You could just make a list of all the odd numbers between 64 and 138 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 64 and 138.

We start by determining the first odd number and last odd number between 64 and 138. The numbers between 64 and 138 start with 65 and end with 137. That means that the first odd number is 65 and the last odd number is 137.

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 64 and 138?"

N = (Last - First + 2) ÷ 2
N = (137 - 65 + 2) ÷ 2
N = 74 ÷ 2
N = 37
Odd numbers between 64 and 138 = 37


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