Problem for you.
If [x] represents the greatest integer less than or equal to x.
Find the number of integral solutions of [x/101] = [x/99]

Question

experimentx · Answer

[x] is floor function right??

anonymous · Answer

Umm. Yes. 
Is[1.4]= 1 ?

experimentx · Answer

x=0-98
x=101-(99x2-1)
x=101x2-(99x3-1)
x=(101x3) - (99x4-1)
..

experimentx · Answer

that would be positive integer solutions ... I think we need for negative side too.

anonymous · Answer

I'm not getting what youre doing.
A little explanation?

experimentx · Answer

I'm finding the domain of x.
first case, 0 to 98, then 101 to (99x2-1) ... and so on. The domain is shrinking.

experimentx · Answer

is answer 2x2450?

anonymous · Answer

Close. Very close.

experimentx · Answer

4902 ?? i guess 4902 because it is symmetric both on negative and positive.

anonymous · Answer

Nope:)

experimentx · Answer

is it 4901??

experimentx · Answer

possibly 4903
adding the last number on both sides plus adding 0

anonymous · Answer

HAha. It's 5000.

experimentx · Answer

anonymous · Answer

Excellent. Well done.As usua. :)