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The average age of a teacher and $25$ students is $17$ years. If the teacher’s age is excluded, the average reduces by $2$ years. The age of the teacher is :

  1. $63$ years
  2. $65$ years
  3. $67$ years
  4. $69$ years
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the average age of teachers +$25$  students=$17*26=442$

The average age of $25$ students=$25*15=375$

So the age of the teacher =$442-375=67$ year

Option $(C)$ is correct.
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