### 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 B

### 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

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