How Many Whole Numbers Between 31 and 73?


Question: How many whole numbers between 31 and 73?

Whole numbers are basically set of integers from 0 onwards and consists of all the positive integers.

Answers: There are 41 whole numbers between 31 and 73.

Whole numbers forms the list of numbers as 0, 1, 2, 3, 4, 5, ..., and so on.

Explanation:

Now let's find the number of whole numbers between 1 and 4:

2 and 3 are the whole numbers between 1 and 4, that is,  there are 2 whole numbers.

Let's see how can we find the number of whole numbers between 1 and 4 without even listing down the whole numbers between them:

So, 4 - 1 - 1 = 4 - 2 = 2

Similarly if we have to find the whole numbers between 3 and 8:

4, 5, 6, and 7 are the whole numbers between 3 and 8, that is, 4 whole numbers.

Let's now see how can we find the number of whole numbers between 3 and 8 without even listing down the whole numbers between them:

So, 8 - 3 - 1 = 8 - 4 = 4

Note that when we ask for numbers between any two given numbers, we don't include the two numbers.

Therefore, the number of whole numbers between any two whole numbers a and b = a - b - 1

So the number of whole numbers between 31 and 73 will be = 73 - 31 - 1 = 73 - 32 = 41.

Therefore, the numbers 32, 33, 34, 35, 36, 37, 38, ... , 69, 70, 71, 72 forms the list of 41 whole numbers between 31 and 73.