The average age of 30 students of a class is | vedclass

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Question

(C) Convert all ages into months for easier calculation.Initial total age of $30$ students = $30 	imes (14 	imes 12 + 4) = 30 	imes 172 = 5160$ mon

Vedclass · Accepted Answer

$10$ years $4$ months

Vedclass · Answer

(C) Convert all ages into months for easier calculation.Initial total age of $30$ students = $30 	imes (14 	imes 12 + 4) = 30 	imes 172 = 5160$ months.New total age of $35$ students = $35 	imes (13 	imes 12 + 9) = 35 	imes 165 = 5775$ months.Total age of $5$ new students = $5775 - 5160 = 615$ months.Age of the youngest student = $9$ years $11$ months = $(9 	imes 12 + 11) = 119$ months.Total age of the remaining $4$ students = $615 - 119 = 496$ months.Average age of the remaining $4$ students = $496 / 4 = 124$ months.$124$ months = $10$ years $4$ months.

The average age of $30$ students of a class is $14$ years $4$ months. After the admission of $5$ new students,the average age becomes $13$ years $9$ months. The youngest of the five new students is $9$ years $11$ months old. What is the average age of the remaining $4$ new students?

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