Classical and easy : At end of a little party, everybody shakes hands with the others, except husbands and wives. At all there were 60 handshakes. How many couples in the party ?

That time, a few couples left before the end. At end of party, those who remained shake hands half what there had been if every body stayed.
How many couples in this little party ? how many left before end ?

But now there are also singles in this party, at end there were 73 handshakes.
How many couples and how many singles ?



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