AGE of 55 students = 15 yearsCONCEPT:Find the total age of students by multiplying average age to total number of students.CALCULATION:Total age of the student = 55 × 15 = 825New strength of the class after TEACHER = 16Average age increased by 1 year,⇒ Total age after teacher = 56 × 16 = 896∴ Age of teacher = 896 – 825 = 71 years.