The average age of 36 students in a group is 14 years When the teacher 39 s age is included in it th...........

Quantitative Aptitude (CGL) Average

The average age of 36 students in a group is 14 years. When the teacher's age is included in it, the average increases by one. The teacher's age in years is

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Explanation:

Suppose S1, S2, S3,………., S36 are the students in the group-
(S1 + S2 + S3………., +S36)/36 = 14; => (S1 + S2 + S3………., +S36) = 504; ------eq.(i)
[(S1 + S2 + S3………., +S36) + T]/37 = 15;
Put the value of equation(i) in the above equation-
504 + T = 37*15;
T = 555 – 504 = 51 years