Question

The average age of 24 students and the principal is 15 years.When the principal's age is exculed the average age decreases by 1 year.What isbthe age of the principal?

Answer 1

Age of principle is 40 years. Hope u got it

Answer 2

The age of the principal is 39 years.

Step-by-step explanation:

Since we have given that

Number of students = 24

Number of principal = 1

So, Average age = 15 years

So, it becomes,

$\dfrac{\sum x+P}{25}=15\\\\\sum x+P=25\times 15=375$

If the age of principal is excluded, then the average age decreases by 1 year.

So, it becomes,

$\dfrac{\sum x}{24}=14\\\\\sum x=24\times 14\\\\\sum x=336$

Now, it becomes,

$336+P=375\\\\P=375-336\\\\P=39$

Hence, the age of the principal is 39 years.

# learn more:

The average age of 24 boys and teacher is 15 years.when the teacher's age is exculded,the average decreases by 1.what is the age of the teacher

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