The average age of 11 players of a cricket te | vedclass

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Question

(C) Let the initial average age of the $11$ players be $A$. The total age is $11A$.When two players aged $18$ and $20$ are replaced by two new players

Vedclass · Accepted Answer

$19 \, 	ext{years} \, 11 \, 	ext{months}$

Vedclass · Answer

(C) Let the initial average age of the $11$ players be $A$. The total age is $11A$.When two players aged $18$ and $20$ are replaced by two new players with ages $x$ and $y$, the new total age becomes $11A - 18 - 20 + x + y$.The new average age is $A + \frac{2}{12} = A + \frac{1}{6}$.Thus, $\frac{11A - 38 + x + y}{11} = A + \frac{1}{6}$.$11A - 38 + x + y = 11A + \frac{11}{6}$.$x + y = 38 + \frac{11}{6} = 38 + 1 	ext{ year } 10 	ext{ months} = 39 	ext{ years } 10 	ext{ months}$.The average age of the two new players is $\frac{x + y}{2} = \frac{39 	ext{ years } 10 	ext{ months}}{2} = 19 	ext{ years } 11 	ext{ months}$.

The average age of $11$ players of a cricket team is increased by $2 \, \text{months}$ when two of them aged $18 \, \text{years}$ and $20 \, \text{years}$ are replaced by two new players. The average age of the new players is?

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