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 :

Answer: Option B

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 :
$$\frac{\left(17+20\right)-\left(\text{Sum of two new players}\right)}{11}$$
= $$\frac{2}{12}$$
= $$\frac{1}{6}$$
Sum of two new players = $$\frac{211}{6}$$
Average of two new players
= $$\frac{211}{12}$$
= 17 years 7 months