 
 <translate> Alina and her best friend Lucia like to chat a lot. On a particular day, Alina sent 20 fewer messages than her friend Lucia, who sent 120 messages. The next day, Lucia sent 1/3 of the messages she sent the previous day, while Alina doubled the messages she sent on the first day. If they sent the same number of messages on the third day as the first day, what is the total number of messages they sent in those three days?
Thoughts? Step-by-step reasoning: <hau> Alina da babban abokinta Lucia suna son yin hira sosai. A wata rana, Alina ta aika saƙo 20 fiye da abokinta Lucia, wadda ta aika saƙo 120. Kashegari, Lucia ta aika da kashi ɗaya bisa uku na saƙonnin da ta aika a ranar da ta gabata, yayin da Alina ta ninka saƙonnin da ta aika a ranar farko. Idan sun aika da adadin sakonni a rana ta uku kamar yadda suka yi a rana ta farko, nawa ne adadin sakonnin da suka aika a cikin kwanakin nan uku? Wani tunani? Dalili na mataki zuwa mataki: 