In a class, average height of all students is p cm. Among them average height of 10 students is q cm and average of remaining students is r cm. Find the number of student in class.
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The total number of student is (10q-10r)/(p-r)
Given data :
Average height of all students = p cm
Average height of 10 students = q cm
Average height of remaining students = r cm
Let,the total students = x
So, total height of all students = p × x = px cm
Total height of 10 students = 10 × q = 10q cm
Remaining students = (x-10)
Total height of remaining students = r × (x-10) = rx-10r
Now,
px =10q + rx -10r
px-rx = 10q-10r
x (p-r) = 10q-10r
x = (10q-10r)/(p-r) (Answer)
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