Question

In a cricket team, the average age of 11 players and the coach is 18 years . if the age of the coach and 2 player is not considered then the average age decrease by 5 years then find (i) the age of coach , (ii) the age of these 2 players and (iii) the age of both coach and these 2 players ?​

Answer 1

Answer:

Age of both players and coach = 99 years

Step-by-step explanation:

Let us say the age of 11 players be a₁, a₂, a₃ ............ a₁₁.

and, Age of coach be = c.

So,

$\frac{a_{1}+a_{2}+.......+a_{11} + c}{12} = 18$

Also,

After removing 2 players and the coach the average age is decreased by 5 years that is = 13 years

So,

$\frac{a_{1}+a_{2}+.......+a_{9} }{9} = 13\\ \\a_{1}+a_{2}+.......+a_{9} } = 117$

Now putting this in above equation we get,

$117+a_{10} + a_{11} + c = 216\\ a_{10} + a_{11} + c = 216-117 = 99\\a_{10} + a_{11} + c = 99$

Therefore, the sum of the two players and the coach is 99 years.

But, we don't have the data required to calculate the age of the players and the coach individually.