I know the phrase "put two and two together", and in fact someone has already asked a question regarding its origin. However, I recently heard someone say the phrase with an addition of the humorous "and got five". Is this part of the original saying? If not, was it coined and by who?
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"Put two and two together and getting four" is from at least since 1816, see my answer on this similar Q&A.
"Put two and two together and getting five" is from at least 1859.
From The New England farmer: Volume 11, in 1859:
Albany de Grenier Fonblanque in c.1860, in Hector Mainwaring; or, A lease for lives
The Hon. Mr. Dorion in 1865, in the Parliamentary debates on the subject of the confederation of the British North American Provinces
Here's Frances Eleanor Trollope in the The Fortnightly Review from 1870, in the serialisation of her story Anne Furness:
So it looks like getting five came a bit later than getting four, and possibly from Canada/north America.
Edit: to include earlier references.
Edit2: Or to look at it another way, "Two and two is four" is from at least 1655 with plenty of 17th century references.
"Two and two make five" is from at least 1690 with plenty of 18th century references.
Wikipedia gives "two plus two equals five" as a slogan from George Orwell's 1984, with the suggestion that if everybody believes something to be true, then for all practical purposes it is true (i.e consensus reality).
For me "putting two and two together to get five" is about combining different pieces of information and then drawing unjustified additional conclusions.