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 inadequat
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 inadequat
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 24*15 = 360 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: Therefore, the total age of the boys alone is 24*14 = 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 360-336 = 24 years.
However, none of the options (38 years, 39 years, 40 years, Data inadequate) match the calculated age of the teacher. There seems to be a mistake in the options provided.
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