Question

the total age of 26 persons are 442 years. out of these persons one is a teacher and others are students. if the teacher's age is excluded, the average reduces by 2 years. what is the age if the teacher?

Answer 1

let the teacher's age be 'x' years
let the total age of all the students be 'y' years
given,
new total no. of persons = 26- 1 = 25
x+y= 442
=> y= 442- x
average(a) = 442/26 = 17
new average (b) = 17- 2 = 15
ATP,
$\frac{442 - x}{25} = 15 \\ = > \: \: 442 - x = 375 \\ = > \: \: x = 442 - 375 \\ = > \: \: x = 67$
thus, the Teacher's age is 67 years