Let L be an arbitrary number. The phrase "the quiotient of a number and 2" may be represented as:
[tex]\frac{L}{2}[/tex]And that quantity decreased by 4 is:
[tex]\frac{L}{2}-4[/tex]If that is equal to 12, then we can write down the equation:
[tex]\frac{L}{2}-4=12[/tex]Add 4 to both sides of the equation:
[tex]\begin{gathered} \frac{L}{2}=12+4 \\ =16 \end{gathered}[/tex]Multilpy both sides by 2:
[tex]\begin{gathered} L=16\cdot2 \\ =32 \end{gathered}[/tex]Therefore, the number is 32.
