'mutually' originates from Latin, specifically the word 'mutuus,' meaning 'borrowed or lent.' 'Agreed' comes from Old French 'agreer,' meaning 'to please or satisfy.'

'Mutually' evolved from the Latin 'mutuus' through Old French 'mutuel,' and 'agreed' transformed from Old French 'agreer' to the modern English 'agree.'

Initially, 'mutually' meant 'borrowed or lent,' and 'agreed' meant 'to please or satisfy.' Over time, they evolved to mean 'involving two or more parties' and 'consented to,' respectively.