Question

A number is greater than 84 but less than 108. Find the number, and show the process.

Answer 1

Let us assume the number is X.
so the equation is
X-84=108-X
X+X=108+84
2X=192
X=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.

Answer 2

Answer:

The number is 96

To find:

Determine the number which is greater than 84 and less than 108 by the same amount (Let us assume)

Solution:

Consider the number which we assumed be x is greater than 84 and amounts lesser than 108 by the same amount.

$\begin{aligned} x - 84 & = 108 - x \\\\ x + x = & 108 + 84 \\\\ 2 x & = 192 \\\\ x & = 96 \end{aligned}$

Hence, the number be 96 which is greater than 84 by (96 - 84) =12 and less than 108 by (108 -96) =12