Finding Triples to Satisfy $\frac{5}{2}$

[anemone]

Find all triples $(a,\,b,\,c)$ of positive integers such that $\dfrac{a}{b}+\dfrac{c}{a}+\dfrac{b}{c+1}=\dfrac{5}{2}$.

 

[kaliprasad]

Find all triples $(a,\,b,\,c)$ of positive integers such that $\dfrac{a}{b}+\dfrac{c}{a}+\dfrac{b}{z+1}=\dfrac{5}{2}$.

what s z ?

 

[anemone]

It's a typo...$z$ is supposed to be a $c$.

I will fix my original post right now, and thanks for catching that...:D