the average of 19 student in a class is 65 if the teacher age is included the average age increase by 10 year the age of the teacher is
Answers
Step-by-step explanation:
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Answer:
Answer=35.
Let me explain how.
Method 1:
Formula: Average = (sum of observations) ÷ number of observations.
Given: number of students=24, and
Average of students =10.
Sum of all the 24 students= 24×10=240,
When the teacher age is added then the new sum becomes 240+x (let ‘x' be the age of teacher).
Number of observations = 24+1=25.
New average = 10+1=11.
So, by the formula
(240+x)÷25 = 11
240+x= 25×11
240+x= 275
x=275–240
x=35.
Teachers age is 35 years.
Method 2:
Let us assume teachers age to be 10 even, then the average of all the students along with teacher wouldn't have changed and it would have remained 10 only.
But it is increased by 1.
So, teachers age= 10+ (1×25). {25= number of students 24+1 that of teacher}
Teachers age=10+25=35.
We know Average age = sum of age/ number of students
Sum of age = average age × no. of students
Sum of age of 24 students = 10 × 24 = 240 years
If the teacher's age is included, the average increases by one.
Teacher's age is included then average increases by 1. It means average become 10 + 1 = 11
Sum of age of 24 students + teacher = 11 × 25 = 275 years
Teacher's age = (Sum of age of 24 students + teacher) - (Sum of age of 24 students)
Teacher's age = 275 - 240 = 35 years
Answer : the age of teacher is 35 years
Step-by-step explanation:
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