out of 8 student the average age of the
first 5 is 12 years and last & is to
find the average age of 8 students
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Step-by-step explanation:
The average age of 20 students is 12 years.
∴ Total age of 20 students =20×12=240years
It is given that, student who is 10years old left the class.
∴ Total age of 19 students =240−10=230years
An then 2 new students entered and average remain same.
∴ Total age of 21 students =21×12=252years
⇒ Total age of 2 new students who entered in the class =252−230=22years
Let x and y be the two new students.
∴ x+y=22 ------ ( 1 )
According to the question,
x−y=4 ----- ( 2 )
Now adding (1) and (2), we get,
x=13
Putting value of x in equation ( 1 ) we get,
y=9
∴ The age of younger one is 9years.
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