# How do you translate the following statement "The difference between a number and four is twenty " into an algebraic expression and then find the number?

Mar 5, 2016

$n - 4 = 20 , n = 24$

#### Explanation:

Difference means subtraction.
'A number' can be represented by a variable. In this case, we'll use $n$ as our variable.

So, our algebraic expression will be: $n - 4 = 20$

To solve this we must use algebra.

$n - 4 = 20$

We must first move the $- 4$ over to the right-hand side to get $n$, our variable, by itself. When we do this, we must also change its operation/sign from negative to positive.

$n = 20 + 4$

Lastly, we just have to solve the right-hand side of our equation and we'll have our final answer.

$n = 24$