The average weight of 3 men A, B and C is 84 | vedclass

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Question

(C) Average weight of $A, B$ and $C = 84 \, kg$.Sum of weights of $A, B, C = 84 	imes 3 = 252 \, kg$ $(1)$.When $D$ joins,the average weight of $4$ m

Vedclass · Accepted Answer

$75$

Vedclass · Answer

(C) Average weight of $A, B$ and $C = 84 \, kg$.Sum of weights of $A, B, C = 84 	imes 3 = 252 \, kg$ $(1)$.When $D$ joins,the average weight of $4$ men becomes $80 \, kg$.Sum of weights of $A, B, C, D = 80 	imes 4 = 320 \, kg$ $(2)$.Weight of $D = (2) - (1) = 320 - 252 = 68 \, kg$.Weight of $E = D + 3 = 68 + 3 = 71 \, kg$.When $E$ replaces $A$,the new group is $B, C, D, E$ with an average of $79 \, kg$.Sum of weights of $B, C, D, E = 79 	imes 4 = 316 \, kg$.$B + C + D + E = 316 \implies B + C + 68 + 71 = 316$.$B + C + 139 = 316 \implies B + C = 316 - 139 = 177 \, kg$.From $(1)$,$A + B + C = 252$.$A + 177 = 252$.$A = 252 - 177 = 75 \, kg$.

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