The average age of 10 boys and the principal is 15 years. When the principal’s age is excluded, the average age decreases by 1 years. What is the age of the principal?
Question
The average age of 10 boys and the principal is 15 years. When the principal’s age is excluded, the average age decreases by 1 years. What is the age of the principal?
Solution
Sure, let's solve this step by step:
Step 1: The average age of 10 boys and the principal is 15 years. This means the total age of 10 boys and the principal is 15 * 11 = 165 years.
Step 2: When the principal’s age is excluded, the average age decreases by 1 year. This means the total age of the 10 boys is 14 * 10 = 140 years.
Step 3: To find the principal's age, we subtract the total age of the boys from the total age of the boys and the principal. So, the principal's age is 165 - 140 = 25 years.
So, the principal is 25 years old.
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