Asked by Dwithun Basumatary
Show that one and only one of x,x plus 2 and x plus 4 is divisible by 3?
Answers
Answered by
Steve
The remainder when x is divided by 3 is 0,1,2
If 0, we're done
if 1, then x=3n+1, so x+2 = 3n+3. Done
if 2, then x=3n+2, so x+4 = 3n+6. Done
No other choices.
If 0, we're done
if 1, then x=3n+1, so x+2 = 3n+3. Done
if 2, then x=3n+2, so x+4 = 3n+6. Done
No other choices.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.