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The observed masses, radii and temperatures of 60 medium- to long-periodbinaries, most of which contain a cool, evolved star and a hotter less-evolvedone, are compared with theoretical models which include (a) core convectiveovershooting, (b)mass loss, possibly driven by dynamo action as in RS CVnbinaries, and (c) tidal friction, including its effect on orbital periodthrough magnetic braking. A reasonable fit is found in about 42 cases, but in11 other cases the primaries appear to have lost either more mass or less massthan the models predict, and in 4 others the orbit is predicted to be eithermore or less circular than observed. Of the remaining 3 systems, two ($\gamma$Per and HR 8242) have a markedly `over-evolved' secondary, our explanationbeing that the primary component is the merged remnant of a former short-periodsub-binary in a former triple system. The last system (V695 Cyg) defies anyagreement at present. Mention is also made of three other systems (V643 Ori, OWGem and V453 Cep), which are relevant to our discussion.

Models for Sixty Double-Lined Binaries containing Giants