The quotient of a number and 2 is the same as a number doubled and 3. What is the number

Question

The quotient of a number and 2 is the same as a number doubled and 3. What is the number

Answer 1

For this problem, let's start by calling the number "x".

 

The first part says that the "quotient of a number and 2", so this means x is divided by 2, like so:

 

x/2

 

The second part mentions that the previous is "the same as a number doubled and 3." What this means is that x is multiplied by 2 and 3 is added to the result like this:

2x+3

 

So x/2=2x+3.

 

Then solve for x.

 

x/2=2x+3

2*(x/2)=2*(2x+3)

x=4x+6

x-4x=4x+6-4x

-3x=6

-3x/-3=6/-3

x=-2

 

As a result, the number is -2.

 

I hope this helps!