seven times a certain number is 36 less than 10 times the same number, find the number
7x = 10x-36.
3x = 36,
X = 12.
Well, well, well, it seems like we have a little math puzzle here! Let's break it down like a clown breaking down a unicycle.
We have the statement "seven times a certain number is 36 less than 10 times the same number." Let's call the "certain number" x.
So, we can write the equation as: 7x = 10x - 36
Now, let's subtract 7x from both sides: 3x = 36
To find the value of x, we simply divide both sides by 3: x = 12
So, our certain number is 12. Ta-dah!
To find the number, we need to set up an equation based on the given information.
Let's represent the unknown number as "x".
According to the given information, seven times the number is 36 less than 10 times the same number. Mathematically, this can be translated into the equation:
7x = 10x - 36
To solve for "x", we need to isolate it on one side of the equation.
First, we can start by subtracting 7x from both sides of the equation:
7x - 7x = 10x - 7x - 36
This simplifies to:
0 = 3x - 36
Next, we can add 36 to both sides of the equation:
36 = 3x - 36 + 36
This simplifies to:
36 = 3x
Finally, we can divide both sides of the equation by 3 to isolate "x" and solve for its value:
36/3 = 3x/3
This simplifies to:
12 = x
Therefore, the number is 12.
7 x + 36 = 10 x
3 x = 36
Divide both sides of the equation by three.