SOLUTION: If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is divided by 8?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is divided by 8?      Log On


   

Question 732314: If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is divided by 8?
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
16 divided by 8=2

Answer by ikleyn(53332) About Me  (Show Source):
You can put this solution on YOUR website!
.
If the positive integer x leaves a remainder of 2 when divided by 8,
what will the remainder be when x + 9 is divided by 8?
~~~~~~~~~~~~~~~~~~~~~~~ 

We are given that

    x = 8n + 2   <<<---=== "the positive integer x leaves a remainder of 2 when divided by 8"


It implies

    x + 9 = (8n + 2) + 9

    x + 9 = 8n + 11,

    x + 9 = 8(n+1) + 3.


This means that the remainder of (x+9) when divided by 8 will be 3.    <<<---===  ANSWER

Solved.