Question

If 12 is added to half of a number, the result is one more than the original number. What is the original number?

Answer 1

`x = 22`

Explanation:

We can find the original number by setting up an equation. Let's call the number `x`.

`x/2 +12 = x+1`

Half of a number `x`, added to `12`, is equal to `1` more than the original number `x`. Now we can solve!

`x/2-x = -11`

Here, we brought all terms with variables to one side, and all other terms on the other. Now we need to isolate the variable. Start by rewriting the terms on the left.

`x/2 - (2x)/2 = -11`

Now we can subtract them.

`-x/2 = -11`

Divide out a `-1`.

`x/2 = 11`

Now multiply both sides by `2` to completely isolate the variable and get the solution.

`x = 22`