Question

Three times the sum of half a number and 9 is 30

Answer 1

The number is 2

Step-by-step explanation:

Let x represent the number;

Three times the sum of half a number and 9 is 30 ​

it can be expressed mathematically as;

`3((x)/(2)+9)=30`

Firstly, let us divide both sides by 3;

`\begin{gathered} (3((x)/(2)+9))/(3)=(30)/(3) \\ ((x)/(2)+9)=10 \end{gathered}`

Then subtract 9 from both sides;

`\begin{gathered} ((x)/(2)+9)=10 \\ (x)/(2)+9-9=10-9 \\ (x)/(2)=1 \\ x=2 \end{gathered}`

Therefore, the number is 2