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 years 39 years 40 years Data 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 years 39 years 40 years Data inadequate
Solution
Sure, let's solve this step by step:
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The average age of 24 boys and the teacher is 15 years. This means the total age of 24 boys and the teacher is 15 * 25 = 375 years.
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When the teacher’s age is excluded, the average decreases by 1. This means the average age of the boys alone is 14 years. So, the total age of the boys alone is 14 * 24 = 336 years.
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To find the teacher's age, we subtract the total age of the boys from the total age of the boys and the teacher. So, the teacher's age is 375 - 336 = 39 years.
So, the teacher is 39 years old.
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