Problema Solution

The difference between twice a number and half the same number is 108.

What is the number?

Answer provided by our tutors

Let 'x' represent the number we are looking for, than we have:


2*x - x/2 = 108


Let's multiply both sides of the equation by 2


2*2*x - (x/2)*2 = 2*108

4*x - x = 216

3*x = 216

x = 216 / 3


x = 72


Indeed,


2*72 - 72/2 = 144 - 36 = 108


The number that we are looking for is 72.