The average weight of 15 oarsmen in a boat is | vedclass

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

Question

(B) Let the average weight of the $15$ oarsmen be $A\, kg$.Total weight of the $15$ oarsmen $= 15A\, kg$.When a man weighing $42\, kg$ is replaced by

Vedclass · Accepted Answer

$66$

Vedclass · Answer

(B) Let the average weight of the $15$ oarsmen be $A\, kg$.Total weight of the $15$ oarsmen $= 15A\, kg$.When a man weighing $42\, kg$ is replaced by a new man of weight $x\, kg$,the new total weight becomes $(15A - 42 + x)\, kg$.The new average weight is $(A + 1.6)\, kg$.Therefore,the new total weight is $15(A + 1.6)\, kg$.Equating the two expressions for the total weight:$15A - 42 + x = 15(A + 1.6)$$15A - 42 + x = 15A + 24$$x = 42 + 24$$x = 66\, kg$.Thus,the weight of the new man is $66\, kg$.

The average weight of $15$ oarsmen in a boat is increased by $1.6\, kg$ when one of the crew,who weighs $42\, kg$,is replaced by a new man. Find the weight of the new man (in $kg$).

Similar Questions

$A$ batsman in his $17^{th}$ innings makes a score of $85$ runs,and thereby,increases his average by $3$ runs. What is his average after the $17^{th}$ innings? He had never been 'not out'.

The average of $3$ numbers is $22$. If the first number is $\frac{3}{8}$ of the sum of the other two numbers,what is the first number?

The average height of the students of a class of $20$ is $105 \, cm$. If ten more students of average height of $120 \, cm$ join this class,the average height of the class will become (in $cm$)?

The average age of four brothers is $12 \, \text{years}$. If the age of their mother is also included, the average increases by $5 \, \text{years}$. The age of the mother (in $\text{years}$) is:

The average of runs of a cricket player of $10$ innings was $32$. How many runs must he score in his next innings so as to increase his average of runs by $4$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module