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.

Guest Feb 25, 2019

#1**+2 **

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

CoolStuffYT Feb 25, 2019

#1**+2 **

Best Answer

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

CoolStuffYT Feb 25, 2019