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

The average age of $20$ boys in the class is $15.6$ years. Five new boys join and the new average becomes $15.56$ years. What is the average age of the five new boys (in years)?

The average age of $6$ members of a family is $20$ years. If the age of a servant is included,the average age increases by $25\%$. What is the age (in years) of the servant?

$A$ cricketer whose bowling average is $12.4$ runs per wicket takes $5$ wickets for $26$ runs and thereby decreases his average by $0.4$. The number of wickets taken by him till the last match was:

The average marks of $120$ students are $35.$ If the average of passed students was $39$ and failed students was $15,$ then find the number of students who have passed.

The average of five consecutive positive integers is $n$. If the next two integers are also included,the average of all these integers will

Vedclass Test Series

Exam Paper Generator

Online Exam Module