When 66 is added to a certain number and the sum is divided by 3 the results is the same as 4 times the number find the number
(x+66)/3 = 4x
your turn
Let's call the certain number "x".
According to the given information, when 66 is added to this number, the sum is divided by 3, resulting in the same value as 4 times the number.
Step 1: Express the given information mathematically.
(x + 66)/3 = 4x
Step 2: Solve the equation for x.
Multiply both sides of the equation by 3:
3 * (x + 66)/3 = 3 * 4x
x + 66 = 12x
Next, subtract x from both sides of the equation:
x + 66 - x = 12x - x
66 = 11x
Step 3: Solve for x by dividing both sides of the equation by 11.
66/11 = 11x/11
6 = x
Therefore, the certain number is 6.
To solve this problem, let's break it down step by step:
Step 1: Assign a variable to the unknown number
Let's call the unknown number "x".
Step 2: Formulate the equation
According to the problem, when 66 is added to the number, and the sum is divided by 3, the result is the same as 4 times the number. Mathematically, this can be represented as:
(x + 66) / 3 = 4x
Step 3: Solve the equation
To solve the equation, we need to first eliminate the denominator. We can do this by multiplying both sides of the equation by 3:
3 * (x + 66) / 3 = 3 * 4x
x + 66 = 12x
Next, we can simplify the equation by subtracting "x" from both sides:
66 = 12x - x
Combining like terms gives us:
66 = 11x
Finally, we isolate "x" by dividing both sides of the equation by 11:
66 / 11 = x
6 = x
So, the unknown number is 6.