Question

The quotient of a number and 2 decreased by 4 is 12 find the number

Answer 1

Let L be an arbitrary number. The phrase "the quiotient of a number and 2" may be represented as:

`(L)/(2)`

And that quantity decreased by 4 is:

`(L)/(2)-4`

If that is equal to 12, then we can write down the equation:

`(L)/(2)-4=12`

Add 4 to both sides of the equation:

`\begin{gathered} (L)/(2)=12+4 \\ =16 \end{gathered}`

Multilpy both sides by 2:

`\begin{gathered} L=16\cdot2 \\ =32 \end{gathered}`

Therefore, the number is 32.