Question

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

Answer 1

See below.

Explanation:

The first thing we need to do is derive expressions from the given problem.

"The quotient of a number and 2", can be written as:

`x/2`

And "the difference of a number doubled and 3" as:

`2x-3`

In the problem, it states that both of these expressions have the same value.

Knowing this, we need only set these expressions equal to each other:

`x/2 = 2x-3`

And we solve for`x`:

`x/2 = 2x-3`

`=>x=2(2x-3)`

`=> x=4x-6`

`=>-3x=-6`

`=> x=2`