###
**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**

## Show Answer

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## Related Questions On Average

### Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average19 people went to a hotel for combine dinner party 13 by 8 runs. His new average is:

A. 20B. 21

C. 28

D. 32

### Find the average of all the numbers between 6 and 34 which are divisible by 5.

A. 18B. 20

C. 24

D. 30

### In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?

A. 10 yearsB. 10.5 years

C. 11 years

D. 12 years

### If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = cB. a : b : c = 3 : 2 : 4

C. 4a = 5b = c

D. a + b + c = 12