Answer:
The number is 2
Explanation:
Let x represent the number;
Three times the sum of half a number and 9 is 30
it can be expressed mathematically as;
[tex]3(\frac{x}{2}+9)=30[/tex]Firstly, let us divide both sides by 3;
[tex]\begin{gathered} \frac{3(\frac{x}{2}+9)}{3}=\frac{30}{3} \\ (\frac{x}{2}+9)=10 \end{gathered}[/tex]Then subtract 9 from both sides;
[tex]\begin{gathered} (\frac{x}{2}+9)=10 \\ \frac{x}{2}+9-9=10-9 \\ \frac{x}{2}=1 \\ x=2 \end{gathered}[/tex]Therefore, the number is 2