The average age of a board of directors of a | vedclass

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

Question

(A) Let the total age of $10$ directors be $T_1 = 10 	imes 48 = 480$ years.Let the age of the director who died be $x$ years.When one director aged $

Vedclass · Accepted Answer

$56$

Vedclass · Answer

(A) Let the total age of $10$ directors be $T_1 = 10 	imes 48 = 480$ years.Let the age of the director who died be $x$ years.When one director aged $53$ resigned and one director aged $x$ died,and a new director aged $34$ joined,the number of directors became $9$.The total age of these $9$ directors at that moment was $T_2 = 480 - 53 - x + 34 = 461 - x$.One year later,each of the $9$ directors aged by $1$ year,so the total age increased by $9 	imes 1 = 9$ years.The new total age is $T_3 = (461 - x) + 9 = 470 - x$.We are given that the average age of these $9$ directors after one year is $46$ years.Therefore,$T_3 = 9 	imes 46 = 414$.Equating the two expressions for $T_3$: $470 - x = 414$.Solving for $x$: $x = 470 - 414 = 56$.Thus,the age of the deceased director was $56$ years.

Similar Questions

Visitors to a show were charged $Rs. 15$ each on the first day,$Rs. 7.50$ on the second day,$Rs. 2.50$ on the third day,and the total attendance on the three days was in the ratio $2:5:13$ respectively. The average charge per person for the entire three days is (in $Rs.$):

$A$ cricketer,whose bowling average was $12.4$ runs/wicket,takes $5$ wickets for $22$ runs in a match,thereby decreasing his average by $0.4$. The number of wickets taken by him before this match was:

The average monthly salary of $20$ employees in an organisation is $Rs. 1500$. If the manager's salary is added, then the average salary increases by $Rs. 100$. What is the manager's monthly salary (in $Rs.$)?

The average daily wages of $A, B$ and $C$ is $Rs. 120$. If $B$ earns $Rs. 40$ more than $C$ per day and $A$ earns double of what $C$ earns per day,the wages of $A$ per day is (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module