Half the difference between the fourth multiple of a number and 16 is 6. What is the number?

The number you are looking for is 28.

Step-by-step explanation:

Half the difference of the fourth multiple of a number and 16 equaling 6 looks like this equation:

N - 16/2 = 6.

The first step to finding the value of "N" is to multiply each side by 2.

2(N - 16/2) = 2(6).

The result is N - 16 = 12.

Next, you need to isolate "N" by itself.

Perform inverse operations to get "N" by itself. We need to get rid of -16.

The inverse operation of subtraction is addition.

So add 16 to both sides.

N - 16 + 16 = 12 + 16.

The result is N = 28.

That means the number that makes the problem true is 28.

Let's check to make sure by plugging 28 into the original equation.

28 - 16/2 = 6.

12/2 = 6.

6 = 6.

So the answer to this question is that the number is 28.