The average age of 10 students and their teacher is 15 years. The average age…

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The average age of 10 students and their teacher is 15 years. The average age of the first seven students is 15 yr and that of the last three is 11 yr. What is the teacher's age?

  1. A.

    33 years

  2. B.

    30 years

  3. C.

    24 years

  4. D.

    27 years

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Show answer & explanation

Correct answer: D

Total Age of 10 students and Teacher = 11 x 15 = 165

Total age of first 7 students = 7 x 15 = 105

Total age of 3 students = 3 x 11 = 33

Thus total age of students = 33 + 105 = 138

Age of Teacher = 165 - 138 = 27

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