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

The mean of marks secured by $50$ students in division $A$ of class $X$ is $61$,$25$ students of division $B$ is $57$,and that of $50$ students of division $C$ is $55$. What will be the mean of marks of the students of three divisions of Class $X$?

Amitabh's average expenditure from $January$ to $June$ is $Rs. 4200$. He spends $Rs. 1200$ in $January$ and $Rs. 1500$ in $July$. What is the average expenditure for the months of $February$ to $July$ (in $Rs.$)?

The average of ten numbers is calculated. If each number is increased by $12 \%$,then the average

The average of $X_{1}, X_{2}$ and $X_{3}$ is $14$. Twice the sum of $X_{2}$ and $X_{3}$ is $30$. What is the value of $X_{1}$?

The average price per $kg$ of rice at $10$ different places was $Rs. 4.85$. After a week,the price per $kg$ was increased by $20$ paise at $3$ places and decreased by $10$ paise at $1$ place. What is the new average price per $kg$ in $Rs.$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module