What is the number which when multiplied by 2 and added to 8 gives the same result as when it is divded by 2 and has 32 added to it?

Let's represent the unknown number as x. The given equation can be written as 2x + 8 = x/2 + 32. To solve for x, we need to isolate x on one side of the equation. By simplifying the equation, we get 4x + 16 = x + 64. Further simplifying gives us 3x = 48, and finally, x = 16. Therefore, the number is 16.