order of groups Question: Suppose $\operatorname{ord}(g)=20$. Find elements $h,k\in G$ such that $\operatorname{ord}(h)=4$, $\operatorname{ord}(k)=5$, and $hk^{-1}=k^{-1}h=g$.
I can't seem to find anything in my notes on how to complete this question. Can someone help hint how to find the solution to this question please?

Hint: What are the orders of $g^5$ and $g^4$?
