what number gives the same result when multiplied by 6 as it does when 6 is added to it?
let the number be x
6x = x+6
5x = 6
x=1.2
check 6(1.2) = 7.2
1.2 + 6 = 7.2
To find the number that gives the same result when multiplied by 6 as it does when 6 is added to it, we can set up an equation.
Let's denote the number as "x".
According to the problem, when we multiply the number by 6, we get the same result as when we add 6 to the number. Mathematically, this can be represented as:
6x = x + 6
To solve this equation, we need to isolate the variable x on one side of the equation.
Subtracting x from both sides of the equation, we get:
6x - x = 6
Simplifying, we have:
5x = 6
Next, divide both sides of the equation by 5:
5x/5 = 6/5
This simplifies to:
x = 6/5
Therefore, the number that satisfies the given condition is 6/5 or 1.2.
To verify this:
When we multiply 1.2 by 6, we get:
1.2 * 6 = 7.2
And when we add 6 to 1.2, we get:
1.2 + 6 = 7.2
So, both calculations give us the same result of 7.2.