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
Question
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
Solution
Sure, here is the step by step solution:
Step 1: The average age of 36 students is 14 years. So, the total age of all students is 36 * 14 = 504 years.
Step 2: When the teacher's age is included, the average age increases by one to become 15 years. Now, the total number of people (students + teacher) is 37.
Step 3: So, the total age of all people (36 students + teacher) is 37 * 15 = 555 years.
Step 4: Therefore, the teacher's age is the total age of all people minus the total age of all students, which is 555 - 504 = 51 years.
So, the teacher's age is 51 years.
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