A number is such that it is as much greater than 84 as it less than 108. The number is

Let us assume the number is x.
so the equation is
x-84=108-x
x+x=108+84
2x=192
x=$\frac{192}{2}$
x=96
Since 96 is (96-84=12) 12 more than 84 and (108-96=12)12 less than 108.
Therefore the answer is 96.