Average weight of 4 men A, B, C and D, is 67, kg. 5^{th} man E is included and average weight decrea

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The average weight of $4$ men $A, B, C$ and $D,$ is $67\, kg.$ The $5^{th}$ man $E$ is included and the average weight decreases by $2 \,kg$. A is replaced by $F.$ The weight of $F$ is $4 \,kg$ more than $E$. Average weight deereases because of the replacement of $A$ and now the average weight is $64\, kg.$ Find the weight of $A ?$

A

$78$

B

$66$

C

$75$

D

$58$

Solution

Weight of $E=(67-2)-(4 \times 2)=57 \quad$ Weight of $F=61 kg$

Average weight decreases by $1\, kg$ on replacing $A$.

So, weight of $A=61+5 \times 1=66 kg$

Standard 13

Quantitative Aptitude

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