When a positive number is multiplied by the sum of twice the number and half the number, the result is the original number. What is the number? Express your answer as a common fraction.
+1252 Let's call the number x. Twice the number means 2x, and half the number means x/2. We Multiply the whole thing by x, and that thing in total equals x.
Putting this into equation form...
x(2x+x/2)=x
2x^2+x^2/2=x
5x^2/2=x
5x^2=2x
5x=2
x=2/5
Therefore, our mystery number is 2/5.
You are very welcome!
:P
+1252 Let's call the number x. Twice the number means 2x, and half the number means x/2. We Multiply the whole thing by x, and that thing in total equals x.
Putting this into equation form...
x(2x+x/2)=x
2x^2+x^2/2=x
5x^2/2=x
5x^2=2x
5x=2
x=2/5
Therefore, our mystery number is 2/5.
You are very welcome!
:P
