Result of putting two and two together on a night out (6,4)

'result of putting two' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'two together on a night out' is the wordplay.
'two together' becomes 'double' (synonyms).
'on' says to put letters next to each other (in a down clue, letters appear on others).
'a night out' becomes 'date' (I've seen this in another clue).
'double'+'date'='DOUBLE-DATE'

'and' is the link.

Can you help me to learn more?