### 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 months C. 19 years 11 months D. 19 years 5 months Answer: Option C

### Solution(By Apex Team)

Total age of 2 players = 18 + 20 = 38 years Increased years = 2 × 11 = 22 months Age of new players = 38 years + 22 months = 39 years 10 months Average = 19 years 11 months
Alternate: Let the total age of 11 players = 11x Then the sum of age of new players = y years According to the question, \begin{aligned}&\Rightarrow11x+y-18-20=11\left(x+\frac{1}{6}\right)\\ &\Rightarrow11x+y-38=11x+\frac{11}{6}\\ &\Rightarrow y=\frac{11}{6}+38\\ &\Rightarrow y=\frac{239}{6}\\ &\text{ Average }\\ &=\frac{239}{2\times6}\\ &=\frac{239}{12}\end{aligned} = 19 years 11 months

A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years