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  1. The average age of 30 students is 15 years. If the teacher’s age is also included then the average age increases by 1 year. The age of the teacher is
    1. 56 years
    2. 46 years
    3. 35 years
    4. 45 years
Correct Option: B

According to question ,
The average age of 30 students = 15 years
Total age of 30 students = 30 × 15 = 450 years
Total age of 30 students and teacher = ( 15 + 1 ) × 31 = 496 years
∴ Age of teacher = Total age of 30 students and teacher - Total age of 30 students
Age of teacher = ( 496 – 450 ) = 46 years



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