Question

When the positive integer x is divided by 9, the remainder is 5. What is the remainder when 3x is divided by 9?

Answer 1

6

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:

`x=9n+5`

When 3x is divided by 9:

`3x\Rightarrow 3(9n+5)`

`27n+15`

Now, we need to break 15 into two numbers as:

`27n+9+6`

Now, we will factor out 9 as:

`9(3n+1)+6`

Therefore, the remainder will be 6.