# The average age of 11 players of a cricket team decreases…

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### The average age of 11 players of a cricket team decreases by 2 months when two new players are included in the team replacing two players of age 17 years and 20 years. The average age of new players is :

1. A. 17 years 1 month
2. B. 17 years 7 month
3. C. 17 years 11 month
4. D. 18 years 3 month

Here is complete explanation of The average age of 11 players of a cricket team decreases….

### Solution(By ExamCraze Team)

Sum of age of two players = 17 + 20 = 37 years
Decreasing age of players = 11 × 2 = 22 months
Sum of age of two new players
= 37 years - 22 months
= 35 years 2 months
Average = 17 years 7 months

Alternate :
\$\$frac{{left( {17 + 20} right) - left( {{text{Sum of two new players}}} right)}}{{11}}\$\$
= \$\$frac{2}{12}\$\$
= \$\$frac{1}{6}\$\$
Sum of two new players = \$\$frac{211}{6}\$\$
Average of two new players
= \$\$frac{211}{12}\$\$
= 17 years 7 months