Average age of 11 players of a cricket team is increased by 2 ,months when two of them aged 18, year

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4.Average

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

A

$19\,years \, 1 \, month$

B

$19\,years \, 6 \, month$

C

$19\,years \, 11 \, month$

D

$19\,years \, 5 \, month$

Solution

Sum of the age of $2$ new players

$=18+20+11 \times \frac{2}{12}=38+\frac{22}{12}=\frac{478}{12}$ $years$

average age of $2$ new players

$=\frac{478}{12 \times 2}=\frac{478}{24}=19 \frac{22}{24}=19$ $years$ $11$ $months$

Standard 13

Quantitative Aptitude

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