Question

23, The average age of 11 players of a cricket team is decreased by 2 months when two of them
aged 17
years and 20 years are replaced by two reserves. The average age of the reserves is
(a) 18 years 3 months (6) 17 years 1 month (C) 17 years 7 months (d) 17 years 11 months​

Answer 1

Correct option is

B

17 years 7 months

Let the average age of 11 players be x.

Then, total age of 11 players = 11x

Total age of 9 players = 11x - (17 + 20) = 11x - 37

Let y be the total age of the 2 new players.

Then

11

11x−37+y

=x−

6

1

=

6

6x−1

⇒66x−222+6y=66x−11

⇒6y=−11+222=211y=

6

211

years

∴ Average of the two players =

2

y

=

12

211

=17 years 7 months.

Mark me as brain list