average of the student of a class is 12 years the average age of 15 of them is 10 years and the average age of the remaining is 13 year how many students are there in a class
Answers
Answer:
There are 45 students in the class.
Step-by-step explanation:
Let the total number of students in the class be "x",
We know( formula ),
Average = ( sum of quantities ) / ( number of quantities )
According to the question, average age of students of the class is 12 years,
So,
= > 12 years = ( sum of ages of all students in years ) / x
= > 12 x = sum of ages of all students
Also, average age of 15 of them is 10 years,
= > 10 = ( sum of ages of 15 students ) / 15
= > 150 = sum of ages of 15 students
Average age of remaining students is 13 years,
= > 13 = ( sum of ages of all students - 150 ) / ( x - 15 )
= > 13( x - 15 ) = ( 12x - 150 )
= > 13x - 195 = 12x - 150
= > 13x - 12x = 195 - 150
= > x = 45
Therefore the total number of students in the class is 45.
Answer:
45 is the correct answer
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