Total age = Average age × Total number of individuals Teacher's age = Total age ( with teacher )− Total age (without teacher) Calculation: Total age of 30 students =18×30 Total age of 30 students = 540 Total age of group (with teacher) =19×31 Total age of group (with teacher) =589 Teacher's age = Total age ( with teacher )− Total age (without teacher) ⇒ Teacher's age =589−540 ⇒ Teacher's age =49