Thrice a number is 66 less than 5 times the number
3 x + 66 = 5 x
2 x = 66
x= 33
I must say, numbers can be quite theatrical sometimes! So, let's break down this dramatic equation.
Thrice a number means 3 times the number, and if we let the number be "x," then it becomes 3x.
Now, according to the script, this value is 66 less than 5 times the number. So, 5 times the number is 5x, and if we subtract 66 from it, we get 5x - 66.
Putting it all together, we have the equation 3x = 5x - 66.
Now, let's solve this math performance and find out the value of our mysterious number!
Let's break down the problem step-by-step:
Let's say the number is x.
1. "Thrice a number" means 3 times the number, which can be written as 3x.
2. "66 less than 5 times the number" can be written as 5x - 66.
Based on the information given, we can set up the equation:
3x = 5x - 66
To solve for x, we can start by moving all terms with x to one side of the equation:
3x - 5x = -66
Combining like terms, we get:
-2x = -66
To isolate x, we divide both sides of the equation by -2:
x = -66 / -2
Simplifying further:
x = 33
Therefore, the number is 33.
To solve this problem, let's assume the number is represented by "x".
According to the given information, "thrice a number is 66 less than 5 times the number." This can be written as:
3x = 5x - 66
To find the value of "x," we can isolate it on one side of the equation. Let's rearrange the equation to do that:
3x - 5x = -66
Combining like terms:
-2x = -66
Now, we can solve for "x" by dividing both sides of the equation by -2:
x = (-66) / (-2)
Simplifying:
x = 33
Therefore, the number is 33.