Question

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-​

Answer 1

Step-by-step explanation:

Given:

• Total no. of players = 11
• When two players are replaced by two new players then, Their average is increased by 2 months
• Age of players who got replaced is 18 and 20 years respectively

To Find:

• The average of the new players

Solution:

★ Total increse in their ages = 11 x 2 = 22 Months ★

→ Ages of two new players together who replaced old players = (18 + 20)Years + 22 months = 38 Years and 22 months

∴ Average of the ages of new players =

→ 38 Years and 22 months/2

→ 19 Years and 11 months

Hence, Average age of new players is 19 Years , 11 months

Answer 2

Given:

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.

To find

The average age of the new players.

Solution

Average age of 11 players of a cricket team is increased by 2 months.

So, total age increased = 2 months × 11 = 22 months

= 1 year 10 months

Now, two players having age 18 years and 20 years are replaced by two new players.

Sum of age = (18 + 20) years

= 38 years.

→ 38 years + 1 year 10 months

= 39 years + 10 months

Now, Average = (39 years + 10 months)/2

[ 19 × 2 = 38, 1 left which is added in months ]

= 19 years 11 months