The average weight of A, B and C is 84 , kg. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The sum of the weights of $A, B$ and $C$ is $84 	imes 3 = 252 \, kg$.When $D$ joins,the sum of the weights of $A, B, C$ and $D$ is $80 	imes 4 =

Vedclass · Accepted Answer

$75$

Vedclass · Answer

(B) The sum of the weights of $A, B$ and $C$ is $84 	imes 3 = 252 \, kg$.When $D$ joins,the sum of the weights of $A, B, C$ and $D$ is $80 	imes 4 = 320 \, kg$.Therefore,the weight of $D = 320 - 252 = 68 \, kg$.Given that $E$ is $3 \, kg$ heavier than $D$,the weight of $E = 68 + 3 = 71 \, kg$.When $E$ replaces $A$,the new group consists of $B, C, D$ and $E$. The sum of their weights is $79 	imes 4 = 316 \, kg$.Since $B + C + D + E = 316 \, kg$ and $E = 71 \, kg$,we have $B + C + D = 316 - 71 = 245 \, kg$.From the equation $A + B + C + D = 320 \, kg$,we can find $A$ by subtracting the sum of $B, C$ and $D$:$A = 320 - 245 = 75 \, kg$.

The average weight of $A, B$ and $C$ is $84 \, kg$. If $D$ joins,the average weight now is $80 \, kg$. If another person $E$,who is $3 \, kg$ heavier than $D$,replaces $A$,then the average weight of $B, C, D$ and $E$ becomes $79 \, kg$. What is the weight of $A$ in $kg$?

Similar Questions

Last year,$5$ companies had an average of $16$ non-working days each. If $3$ companies had $16$ non-working days each and $2$ companies had $5$ fewer non-working days each,what was the average number of non-working days for these $5$ companies last year?

The average of marks obtained by $120$ candidates in a certain examination is $35$. If the average marks obtained by passed candidates are $39$ and those of the failed candidates are $15$,then what is the number of candidates who passed the examination?

The average age of $30$ girls is $13$ years. The average age of the first $18$ girls is $15$ years. Find the average age of the remaining $12$ girls.

In a cricket team of $11$ boys,one player weighing $42 \,kg$ is injured and replaced by another player. If the average weight of the team is increased by $100 \,g$ as a result of this,then what is the weight of the new player (in $.1$)? (in $kg$)

The average age of a cricket team reduces by $2$ when two senior players aged $32$ and $30$ are replaced by $2$ youngsters of equal age. What is the age of these youngsters?

Vedclass Test Series

Exam Paper Generator

Online Exam Module