For a trip, the average age of 45 students is 20 years. If two students cancelled due to an emergency so three teachers joined the student's group. The new average age of group for the trip is 21 years. What will be the approximate average age of three teachers group if the average age of two students who cancelled their trip is 19 years?

For a trip, the average age of 45 students is 20 years. If two students cancelled due to an emergency so three teachers joined the student's group. The new average age of group for the trip is 21 years. What will be the approximate average age of three teachers group if the average age of two students who cancelled their trip is 19 years? Correct Answer 35 years 

Total age of 45 students = 45 × 20 = 900

Total age of 2 students = 19 × 2 = 38

Total age of 43 students = 900 – 38 = 862

New average age of 46 people in trip = 46 × 21 = 966

Total age of 3 teacher's = 966 – 862 = 104

Average age of 3 teachers = 104/3 = 34.66 years

∴ Average age of 3 teachers ≈ 35 years

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.