In a school, the average age of students is 6 | vedclass

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(A) Let the number of students be $x$.The total age of $x$ students is $6x$.The total age of $12$ teachers is $12 	imes 40 = 480$.The total number of

Vedclass · Accepted Answer

$396$

Vedclass · Answer

(A) Let the number of students be $x$.The total age of $x$ students is $6x$.The total age of $12$ teachers is $12 	imes 40 = 480$.The total number of people in the school is $(x + 12)$.The average age of the combined group is given as $7 \, 	ext{years}$.Therefore, the equation is:$\frac{6x + 480}{x + 12} = 7$Multiplying both sides by $(x + 12)$:$6x + 480 = 7(x + 12)$Expanding the right side:$6x + 480 = 7x + 84$Rearranging the terms to solve for $x$:$480 - 84 = 7x - 6x$$x = 396$Thus, the number of students is $396$.

In a school, the average age of students is $6 \, \text{years}$, and the average age of $12$ teachers is $40 \, \text{years}$. If the average age of the combined group of all the teachers and students is $7 \, \text{years}$, then the number of students is?

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