To work out is to exercise at a gym — or for something to end well. Two senses that could hardly be further apart.
The exercise sense gave English the noun workout, written as one word, meaning a session of training. The other sense is about outcomes, so saying that things did not work out means they went wrong, usually about a job or a relationship, and it is gentle by design. There is a third sense meaning to calculate or solve, so you work out a sum, and a fourth in which a price works out at an amount.
Practised in Phrasal Verbs, A Man Called Ove, Thinking & Memory
First appears in chapter 9 of A Man Called Ove.
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