Six subtracted from twelve times a number is 174. What is the number?
12n - 6 = 174
To find the number, let's set up an equation based on the given information.
Let's assume the number is represented by the variable x.
We can translate the phrase "twelve times a number" as 12x.
The phrase "six subtracted from twelve times a number" can be written as 12x - 6.
According to the given information, the expression "six subtracted from twelve times a number" is equal to 174.
So we have the equation 12x - 6 = 174.
To solve for x, we can add 6 to both sides of the equation:
12x - 6 + 6 = 174 + 6
This simplifies to 12x = 180.
Now, let's divide both sides of the equation by 12:
12x/12 = 180/12
This simplifies to x = 15.
So the number is 15.
To solve this problem, we need to translate the given statement into an equation and then solve for the unknown number.
Let's assume the unknown number is represented by the variable "x."
The given statement says "Six subtracted from twelve times a number is 174."
So, we can write this as an equation:
12x - 6 = 174
To solve for x, we need to isolate it on one side of the equation. We can do this by adding 6 to both sides of the equation:
12x - 6 + 6 = 174 + 6
This simplifies to:
12x = 180
Next, we want to solve for x, so we divide both sides of the equation by 12:
12x/12 = 180/12
This simplifies to:
x = 15
Therefore, the number is 15.