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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.

 Feb 25, 2019

Best Answer 

 #1
avatar+568 
+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

 Feb 25, 2019
 #1
avatar+568 
+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

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