A number is as much less than 75 as it is greater than 45. Find the number?

75-x = x-45

...

or sketch a number line. You will see that the middle between 75 and 45 is 15 each way.

or take the average (75+45)/2

To solve this question, we can set up an equation based on the information given.

Let's assume the number we are trying to find is represented by "x".

According to the question, the number is as much less than 75 as it is greater than 45. This can be represented as:

75 - x = x - 45

We can simplify this equation by combining like terms:

75 - 45 = 2x

30 = 2x

To find the value of x, we divide both sides of the equation by 2:

30/2 = x

15 = x

Therefore, the number we are looking for is 15.