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?33 years30 years27 years24 yearsClear ResponseSave & Next
Question
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?33 years30 years27 years24 yearsClear ResponseSave & Next
Solution
The average age of 10 students and their teacher is 15 years. This means the total age of all 11 people is 15*11 = 165 years.
The average age of the first seven students is 15 years, so their total age is 15*7 = 105 years.
The average age of the last three students is 11 years, so their total age is 11*3 = 33 years.
The total age of all the students is 105 + 33 = 138 years.
So, the teacher's age is the total age of all 11 people minus the total age of the students, which is 165 - 138 = 27 years.
Therefore, the teacher's age is 27 years.
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