Find the correct relationship between Quantity I and Quantity II. \ Quantity I: The age of teacher, if the average age of 36 students is 14. When teacher’s age is included the average increases by 1. \ Quantity II: The age of professor if the average age of 19 students is 35. When professor’s age is included the average increases by 0.5.

Quantity I: With 36 students averaging 14 years, total = 504. When teacher joins, 37 people average 15 years, total = 555. Teacher's age = 555 - 504 = 51 years. Quantity II: With 19 students averaging 35 years, total = 665. When professor joins, 20 people average 35.5 years, total = 710. Professor's age = 710 - 665 = 45 years. Since 51 > 45, Quantity I > Quantity II.