A set $X$ is partitioned into subsets $X_1,X_2,$ and $X_3$. The number of elements in $X_1$ is three times the number in $X_2$, and the number in $X_3$ is four times the number in $X_1$. If $n\left(X\right)=160$, what is $n\left(X_1\right)$?