Average weight of A, B and C is 84 ,kgs. If D joins, average weight now is 80 ,kgs . If another pers

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

A

$70$

B

$75$

C

$65$

D

$55$

Solution

Total weight of $A+B+C=84 \times 3=252 kgs$

$A+B+C+D=80 \times 4=320 kgs$

$D=68, E=68+3=71 kgs$

$B+C+D+E=79 \times 4=316 kg$

$B+C+D=316-71=245 kg$

$A=320-245=75 kgs$

Standard 13

Quantitative Aptitude

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