An apparatus consisting of two magnetic spectrometers has been constructed at the CERN Proton Synchrotron (PS) in a missing-mass experiment to identify and select the beam particle and the outgoing one, and to measure their momenta. This paper gives details of the two spectrometers, which are comprised of multiwire proportional chambers, high resolution time-of-flight counters, and aerogel and water Cherenkov detectors.