An environmental monitoring team tracks two radon isotopes, $IsotopeX$ and $IsotopeY$, which have half-lives of $16minutes$ and $48minutes$, respectively. Freshly collected samples of both isotopes begin decaying at the same time. After a period of $96minutes$, both samples are measured to contain exactly the same number of active, undecayed nuclei. If the sample of $IsotopeY$ initially contained $N_0$ nuclei, what was the initial number of nuclei in the sample of $IsotopeX$?