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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 months
- C. 19 years 11 months
- D. 19 years 5 months
Answer: Option C
Here is complete explanation of The average age of 11 players of a cricket team is….
Solution(By ExamCraze 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,
$$eqalign{
& Rightarrow 11x + y - 18 - 20 = 11left( {x + frac{1}{6}} right) cr
& Rightarrow 11x + y - 38 = 11x + frac{{11}}{6} cr
& Rightarrow y = frac{{11}}{6} + 38 cr
& Rightarrow y = frac{{239}}{6} cr} $$
∴ Average
$$eqalign{
& = frac{{239}}{{2 times 6}} cr
& = frac{{239}}{{12}} cr} $$
= 19 years 11 months
