cashejones3025 cashejones3025
  • 03-01-2020
  • Mathematics
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When the positive integer x is divided by 9, the remainder is 5. What is the remainder when 3x is divided by 9?

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ApusApus ApusApus
  • 04-01-2020

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.

   

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