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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?


Options:
A .  51 years
B .  49 years
C .  53 years
D .  50 years
Answer: Option A

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




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