Question
if you add one number divisible by n and one number not divisble by n will the result be divisible by n?
and..
if you add two numbers not divisible by n will the reult be dvisible by n? explain.
and..
if you add two numbers not divisible by n will the reult be dvisible by n? explain.
Answers
David Q
(a) No, it won't. The remainder will be the same as that for the number that isn't divisible by n.
(b) It might be, and it might not. Consider whether (8+4) is divisible by 3, given that neither 8 nor 4 is divisible by 3; then consider whether (8+5) is divisible by 3, given that neither 8 nor 5 is divisible by 3.
(b) It might be, and it might not. Consider whether (8+4) is divisible by 3, given that neither 8 nor 4 is divisible by 3; then consider whether (8+5) is divisible by 3, given that neither 8 nor 5 is divisible by 3.