Question

The average age of a team of 29 members is 23 years.If the age of the team leader be included then the average increases by 2 months.What is the age of the team leader?

Answer 1

Answer:

28 years

Step-by-step explanation:

let age of the team leader = T

T = 30( 23+ 2/12 ) - 29(23) = 28 years

Answer 2

The age of the team leader is 28 years.

Step-by-step explanation:

Let the age of the team leader is x years.

Now, it has been given that average age of the team of 29 members is 23 years.

Thus, we have

$\text{Average}=\frac{\text{Sum of observations}}{\text{Total number of observations}}\\\\23=\frac{\text{Sum of observations}}{29}\\\\\text{Sum of observations}=667$

Now, if the age of the team leader be included then the average increases by 2 months. It means average will increased by 1/6 years.

So, we have

$23+\frac{1}{6}=\frac{\text{Sum of observations}+x}{30}\\\\23+\frac{1}{6}=\frac{667+x}{30}\\\\\frac{139}{6}=\frac{667+x}{30}\\\\139=\frac{667+x}{5}\\\\667+x=695\\\\x=28$

Therefore, the age of the team leader is 28 years.

#Learn More:

The avarage age of 40 employees in a compaly is 25 years.if the age of new employee is included then the avarage increases by 3 month .what is the age of the new employee?

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