A number is divided by 2. If 16 is added to the quotient you get 20

let the number be x

x/2 + 16 = 20
x/2 = 4
x = 8

check it out

To solve this problem, let's start by assigning a variable to the unknown number. Let's call the unknown number "x".

We are told that when the number is divided by 2, and then 16 is added to the quotient, the result is 20.

So, we can express this as an equation:

(x / 2) + 16 = 20

To find the value of x, we need to isolate it on one side of the equation.

First, let's subtract 16 from both sides of the equation:

(x / 2) = 20 - 16
(x / 2) = 4

Now, to isolate x, we need to get rid of the division by 2 by multiplying both sides of the equation by 2:

2 * (x / 2) = 2 * 4
x = 8

Therefore, the unknown number is 8.