Equations system 2

Given $n$ nonnegative real numbers $a_1\le a_2\cdots \le a_n$ we have:
$$\begin{gathered} \sum _{i=1}^n{a}_i=96 \\ \sum _{i=1}^n{a}_i^2=144 \\ \sum _{i=1}^n{a}_i^3=216 \end{gathered}$$
Find $n,a_1\text{ and }{a}_n$

Answer format: $n,a_1,a_n\text{ in form p/q as }{a}_i\text{ are rational numbers})$