Yes, everyone has to pay the Reciprocity Fee regardless of the age! 

Its valid for 10 years, you can apply for get visa to argentina over this link and too is possible here for the Argentina visa reciprocity fee


NOTE:

  • The Reciprocity Fee for Australian and Canadian Citizens is called - The Argentina Reciprocity Fee (Tourist Fee that you have to pay before boarding a flight to Argentina, payable ONLY online)
  • Chinese Citizens also need to pay this tourism fee before they board their flight to Argentina, it is called - English: ETA - Electronic Travel Authorization / Spanish: AVE - Autorización de Viaje Electrónica.