The average age of 24 boys and the teacher is 15 years. When the teacher’s age is excluded, the average decreases by 1. What is the age of the teacher?Options :38 years39 years40 yearsData inadequate
Question
The average age of 24 boys and the teacher is 15 years. When the teacher’s age is excluded, the average decreases by 1. What is the age of the teacher?Options :38 years39 years40 yearsData inadequate
Solution
Sure, here is the step by step solution:
Step 1: The average age of 24 boys and the teacher is 15 years. So, the total age of 24 boys and the teacher is 15 * 25 = 375 years.
Step 2: When the teacher’s age is excluded, the average decreases by 1. So, the average age of the boys alone is 15 - 1 = 14 years.
Step 3: The total age of the boys alone is 14 * 24 = 336 years.
Step 4: The teacher's age is the total age of the boys and the teacher (from step 1) minus the total age of the boys alone (from step 3). So, the teacher's age is 375 - 336 = 39 years.
So, the teacher is 39 years old.
Similar Questions
In a school, the average age of 10 students and a teacher is16 years. If the age of teacher is 26 years, find the average age of students.
The average age of a class of 59 students and their teacher is 22 years and 4 months. If the average age of the class falls by four months when the teacher is excluded, what is the age (in years) of the teacher?
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
The average age of 24 boys in a class is 16. If the teacher is included and one boy is excluded from the group, the average increases by one. The age of the teacher is: OptionsData insufficient525150
The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?Options :514947none
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.