For phase-change heat exchangers (condensers/evaporators), the LMTD is completely identical for both parallel and counter-flow arrangements because the hot or cold fluid temperature remains absolutely flat.
As a quick estimation check, the LMTD must always lie between the values of \(\Delta T_1\) and \(\Delta T_2\). Here, \(50 < 63.83 < 80\), verifying that our answer falls within the correct physical bound.