If 12 is subtracted from three times a number the result is equal to two-thirds of the number plus 16.What is the number
3x-12 = (2/3)x + 16
now just solve for x.
X=2
Let's represent the number by "x".
The equation can be formed as follows:
3x - 12 = (2/3)x + 16
To solve this equation, we will multiply both sides by 3 to get rid of the fraction.
3(3x - 12) = 3[(2/3)x + 16]
Simplifying the equation gives us:
9x - 36 = 2x + 48
Now, let's isolate the variable "x" on one side of the equation.
9x - 2x = 48 + 36
7x = 84
To find the value of "x", divide both sides of the equation by 7.
7x/7 = 84/7
x = 12
Therefore, the number is 12.
To solve this problem, we need to set up an equation based on the given information and then solve for the unknown number.
Let's assume the unknown number is represented by the variable "x".
The first part of the problem states that "12 is subtracted from three times a number." This can be written as: 3x - 12.
The second part says "the result is equal to two-thirds (2/3) of the number plus 16." This can be written as: (2/3)x + 16.
Now we can set up the equation:
3x - 12 = (2/3)x + 16
To solve for x, we can start by getting rid of the fractions by multiplying every term in the equation by the common denominator, which in this case is 3:
3(3x - 12) = 3((2/3)x + 16)
9x - 36 = 2x + 48
Next, we want to isolate the variable x on one side of the equation. We can do this by getting all the x terms on one side and the constant terms on the other side:
9x - 2x = 48 + 36
7x = 84
Finally, we solve for x by dividing both sides of the equation by 7:
x = 84/7
x = 12
Therefore, the number is 12.