The average age of 30 students in a class is 14 years. When the teacher's age is included, the average rises by 1 year. What is the teacher's age?
A. 45 years
B. 46 years
C. 44 years
D. 40 years
A. 45 years
B. 46 years
C. 44 years
D. 40 years
Best answer
Answer: A. 45 years
Answer: (A) 45 years
Shortcut: teacher = new average + 30 × rise = 15 + 30 × 1 = 45 years.
Plain: 31 × 15 − 30 × 14 = 465 − 420 = 45.
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