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Sexagenarian
Age Range
Use 'sexagenarian' to specify someone's age within the 60-69 bracket without stating the exact number. 
Adjective Use
'Sexagenarian' can describe related nouns, like 'sexagenarian population' to mean people in their 60s. 
Neutral Connotation
The term 'sexagenarian' is neutral and factual, without any negative or positive bias. 