A group of boys has an average weight of 36 , | vedclass

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(C) Let the number of boys in the group be $x$.The initial sum of weights of the boys is $36x$.When a boy weighing $42 \,kg$ leaves and a boy weighing

Vedclass · Accepted Answer

$40$

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(C) Let the number of boys in the group be $x$.The initial sum of weights of the boys is $36x$.When a boy weighing $42 \,kg$ leaves and a boy weighing $30 \,kg$ joins,the new sum of weights is $36x - 42 + 30 = 36x - 12$.The new average is given as $35.7 \,kg$. Since the number of boys remains $x$,we have:$\frac{36x - 12}{x} = 35.7$Multiplying both sides by $x$:$36x - 12 = 35.7x$Rearranging the terms to solve for $x$:$36x - 35.7x = 12$$0.3x = 12$$x = \frac{12}{0.3} = 40$Therefore,there are $40$ boys in the group.

$A$ group of boys has an average weight of $36 \,kg$. One boy weighing $42 \,kg$ leaves the group and another boy weighing $30 \,kg$ joins the group. If the average now becomes $35.7 \,kg$,then how many boys are there in the group?

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