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

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:

$x=9n+5$

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.