The average age of Sachin (S) and Ganguli (G) | vedclass

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

Question

(A) Let the ages be $S, G, K, D, I$. Given: $(S + G) / 2 = 35 \Rightarrow S + G = 70$. If $K$ replaces $S$: $(K + G) / 2 = 32 \Rightarrow K + G = 64$.

Vedclass · Accepted Answer

$28$

Vedclass · Answer

(A) Let the ages be $S, G, K, D, I$. Given: $(S + G) / 2 = 35 \Rightarrow S + G = 70$. If $K$ replaces $S$: $(K + G) / 2 = 32 \Rightarrow K + G = 64$. If $K$ replaces $G$: $(S + K) / 2 = 38 \Rightarrow S + K = 76$. Adding these three equations: $2(S + G + K) = 70 + 64 + 76 = 210$. Thus,$S + G + K = 105$. The average age of $S, G, K$ is $105 / 3 = 35$. The average age of $D$ and $I$ is half of this: $(D + I) / 2 = 35 / 2 = 17.5$. Therefore,$D + I = 35$. The sum of ages of all five is $(S + G + K) + (D + I) = 105 + 35 = 140$. The average age of all five is $140 / 5 = 28 	ext{ years}$.

Similar Questions

The average salary of all the staff in an office of a corporate house is $Rs. 5,000$. The average salary of the officers is $Rs. 14,000$ and that of the rest is $Rs. 4,000$. If the total number of staff is $500$,what is the number of officers?

Out of four numbers,whose average is $60$,the first one is one-fourth of the sum of the last three. The first number is

The average weight of $24$ students in section $A$ of a class is $58 \,kg,$ whereas the average weight of $26$ students in section $B$ of the same class is $60.5 \,kg$. Find out the average weight of all the $50$ students of the class. (in $kg$)

$A$ cricketer has a certain average for $10$ innings. In the eleventh inning,he scored $108$ runs,thereby increasing his average by $6$ runs. His new average is

Find the average of all prime numbers between $60$ and $90$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module