I am thinking of a number. If you multiply my number by 6 and then subtract 35, you will get my number. What is my number?

“I am thinking of a number. If you multiply my number by 6 and then subtract 35, you will get my number. What is my number?

To find your number, we need to set up an equation based on the information given. Let's call your number "x."

According to the information given, if we multiply your number by 6 and then subtract 35, we will get your number back. So we can write the equation as:

6x - 35 = x

To solve for x, we need to isolate the "x" term on one side of the equation. We can do this by subtracting "x" from both sides of the equation:

6x - x - 35 = 0

Simplifying the equation gives us:

5x - 35 = 0

Next, we can add 35 to both sides of the equation to get rid of the -35 term:

5x = 35

Finally, we divide both sides of the equation by 5 to solve for x:

x = 35 / 5

Simplifying this expression gives us:

x = 7

So, your number is 7.

6x-35 = x