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

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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 $140 / 5 = 28 	ext{ years}$.

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