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

Sagot :

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

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