Let the number be x.
If the number is divided by 4, we have:
[tex]\frac{x}{4}[/tex]The quotient is added to 3, this gives us:
[tex]\frac{x}{4}+3[/tex]The result is 24. This leads to the equation:
[tex]\frac{x}{4}+3=24[/tex]Next, we solve for the number x.
[tex]\begin{gathered} \frac{x}{4}+3=24 \\ \text{Subtract 3 from both sides} \\ \frac{x}{4}+3-3=24-3 \\ \frac{x}{4}=21 \\ \text{Cross multiply} \\ x=21\times4 \\ x=84 \end{gathered}[/tex]Therefore, the number is 84.