Answer:
6
Step-by-step explanation:
Let n represent the quotient of the number.
We have been given that when the positive integer x is divided by 9, the remainder is 5. We can represent this information in an equation as:
[tex]x=9n+5[/tex]
When 3x is divided by 9:
[tex]3x\Rightarrow 3(9n+5)[/tex]
[tex]27n+15[/tex]
Now, we need to break 15 into two numbers as:
[tex]27n+9+6[/tex]
Now, we will factor out 9 as:
[tex]9(3n+1)+6[/tex]
Therefore, the remainder will be 6.
