Monday, 10 June 2013

Number Theory logica problem

I have a given problem and attempted to solve it. I would like to know if i'm solving it right or not.



For all integers a and b, if a divides b, then a+a divides b+b. True or false




What i think is that if you let a=5 and b=20, then it is true because 5+5 divides 20+20, 10 divides 40 which is 4. however if you let a=5 and b=17, then it is false bc 10 cannot divide 34. well it can, 1.5 but i don't know 1.5 can be included...



any help would be great



Thank you

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...