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 :
A. 17 years 1 month B. 17 years 7 month C. 17 years 11 month D. 18 years 3 month Answer: Option BShow Answer
Solution(By Apex 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 : $\begin{array}{l}\large\frac{(17+20)-(\text{ Sum of two new players })}{11}\\ =\large\frac{2}{12}\\ =\large\frac{1}{6}\end{array}$ Sum of two new players $\large=\frac{211}{6}$ Average of two new players $\large=\frac{211}{12}$ = 17 years 7 months
Alternate : $\begin{array}{l}\large\frac{(17+20)-(\text{ Sum of two new players })}{11}\\ =\large\frac{2}{12}\\ =\large\frac{1}{6}\end{array}$ Sum of two new players $\large=\frac{211}{6}$ Average of two new players $\large=\frac{211}{12}$ = 17 years 7 months
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