Sara was thinking of a number. Sara divides by 2, then adds 10 to get an answer of 6. What was the original number?
To find the original number Sara was thinking of, we need to reverse the steps she took.
First, Sara divided the number she was thinking of by 2. Let's call the original number x. So, when she divided x by 2, the result was x/2.
Next, she added 10 to the result. So, the expression becomes (x/2) + 10.
According to the problem, the final answer she got was 6. So, we can set up the equation:
(x/2) + 10 = 6
To solve for x, we can start by subtracting 10 from both sides of the equation:
(x/2) + 10 - 10 = 6 - 10
(x/2) = -4
Now, we need to isolate x. To do this, we can multiply both sides of the equation by 2:
2 * (x/2) = -4 * 2
x = -8
Therefore, the original number Sara was thinking of is -8.