The Average Age Of 36 Students In A Group Is 14 Years. When Teacher's

1.	The Average Age Of 36 Students In A Group Is 14 Years. When Teacher's Age Is Included To It, The Average Increases By One. Find Out The Teacher's Age In Years?
Answer» average age of 36 students in a group is 14 Sum of the ages of 36 students = 36 × 14 When teacher's age is INCLUDED to it, the average INCREASES by one => average = 15 Sum of the ages of 36 students and the teacher = 37 × 15 Hence teachers age = 37 × 15 - 36 × 14 = 37 × 15 - 14(37 - 1) = 37 × 15 - 37 × 14 + 14 = 37(15 - 14) + 14 = 37 + 14 = 51. average age of 36 students in a group is 14 Sum of the ages of 36 students = 36 × 14 When teacher's age is included to it, the average increases by one => average = 15 Sum of the ages of 36 students and the teacher = 37 × 15 Hence teachers age = 37 × 15 - 36 × 14 = 37 × 15 - 14(37 - 1) = 37 × 15 - 37 × 14 + 14 = 37(15 - 14) + 14 = 37 + 14 = 51.

The Average Age Of 36 Students In A Group Is 14 Years. When Teacher's Age Is Included To It, The Average Increases By One. Find Out The Teacher's Age In Years?

Answer»

average age of 36 students in a group is 14

Sum of the ages of 36 students = 36 × 14

When teacher's age is INCLUDED to it, the average INCREASES by one

=> average = 15

Sum of the ages of 36 students and the teacher = 37 × 15

Hence teachers age

= 37 × 15 - 36 × 14

= 37 × 15 - 14(37 - 1)

= 37 × 15 - 37 × 14 + 14

= 37(15 - 14) + 14

= 37 + 14

= 51.