Hi

I spent a lot of time trying to sovle this so I would really appreciate it if someone could just give me some hints what I am doing wrong.

Vicky.

There are positive intergers k, n, m such that

19/20 < 1/k + 1/n + 1/m < 1

What is the smallest possible value of k+n+m?

19 < 20 ( 1/k + 1/n + 1/m ) < 20

19 < 20 ( nm + km + kn/ knm ) < 20

nm + km + kn = try to make the value about 19.01

knm = 20

I did a lot of guessing and checking but now I am starting to see my solution doesn't make any sense..

Vicky.