  We present a detailed analysis of two merging clusters, from
XMM-\textit{Newton} X-ray archival data: PLCKESZ G036.7+14.9 ($z=0.15$;
hereafter G036) and PLCK G292.5+22.0 ($z=0.30$; hereafter G292). We notice that
the intracluster medium is heated as a result of the merger, and we find
evidence for a merger shock in the region between both subcluster haloes. X-ray
observations confirm that the shocks in these systems are among the hottest
known in the literature. From the ICM analysis of temperature discontinuity,
the Mach numbers were determined to be $M_{\rm G036}=1.3$ and $M_{\rm
G292}=1.5$ for G036 and G292, respectively. In this paper, for each cluster, we
propose a hydrodynamic model for the merger as a whole, compatible with their
diffuse X-ray emission and temperature maps. The simulations suggest that both
clusters are observed shortly before pericentric passage. Our simulation
results indicate that the merger of the G036 system is seen at an inclination
of 50$^{\circ}$ (the angle between the plane of the orbit and the plane of the
sky), and merely 50 Myr prior to the pericentric passage. In the case of G292,
the subclusters would be merging not far from the plane of the sky
($i=18^{\circ}$) and are observed 150\,Myr before the two cores collide.
