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?
It could be any number.
What are the other clues?
To find the number, let's use algebraic representation and solve the equation.
Let's say the number you are thinking of is x.
According to the given information, if we multiply the number by 6 and subtract 35, we get the original number back.
Mathematically, this can be represented as:
6x - 35 = x
To solve this equation and find the value of x, we can follow these steps:
1. Remove the x from both sides of the equation by subtracting x from both sides:
6x - x - 35 = x - x
5x - 35 = 0
2. Move the constant term, -35, to the other side by adding 35 to both sides:
5x - 35 + 35 = 0 + 35
5x = 35
3. Solve for x by dividing both sides of the equation by the coefficient of x, which is 5:
5x/5 = 35/5
x = 7
Therefore, the number you are thinking of is 7.