Problem Weekly-29: Number-lover Sauvik is visiting a recreation park with his uncle and cousins. To enter the park, there is no ticket for children under 5 years, half-priced tickets for students under 18 years, and full-priced tickets are sold for Adults. Sauvik’s uncle bought his ticket first from the adult counter. Then he walked to another counter to buy tickets for the rest people. The checker at the counter asked him about their age, and Sauvik replied immediately like this: The product of our age is 3840 (except his uncle), and the age of the older person here is 4 times the age of the younger person! The checker has thought for a while, then provides Sauvik’s uncle with the required tickets without any mistake!
Can you tell us the number of people who were with Sauvik in the park (including himself)? How many tickets of each type his uncle bought for them?