The sum of seven numbers is 235. The average | vedclass

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Question

(A) Let the seven numbers be $n_1, n_2, n_3, n_4, n_5, n_6, n_7$.The sum of the seven numbers is given as $n_1 + n_2 + n_3 + n_4 + n_5 + n_6 + n_7 = 2

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(A) Let the seven numbers be $n_1, n_2, n_3, n_4, n_5, n_6, n_7$.The sum of the seven numbers is given as $n_1 + n_2 + n_3 + n_4 + n_5 + n_6 + n_7 = 235$.The average of the first three numbers is $23$,so their sum is $n_1 + n_2 + n_3 = 23 	imes 3 = 69$.The average of the last three numbers is $42$,so their sum is $n_5 + n_6 + n_7 = 42 	imes 3 = 126$.Substituting these sums into the total sum equation:$69 + n_4 + 126 = 235$$195 + n_4 = 235$$n_4 = 235 - 195 = 40$.Therefore,the fourth number is $40$.

The sum of seven numbers is $235$. The average of the first three is $23$ and that of the last three is $42$. The fourth number is

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