Answer:
Carl and Antonia see other after every 21 days or after every three weeks.
Explanation:
i) Carl goes to the beach every third day.
ii) Antonia goes to the beach every seventh day.
iii) the lowest common multiple of 3 and 7 is LCM(3,7) = 3
7 = 21
iv) therefore Carl and Antonia see other after every 21 days or after every three weeks.