The average age of a School of n Men is X years. Three new Men join the School whose ages are X – 1, X + 1 and X + 2 years. What is the new average age of the School?

The average age of n men is X year. Total age is given by N years Newaverageage =NX + X − 1 + X + 1 + X + 2N + 3 = N X + 3 X + 2 N + 3 = X [ N + 3 ] N + 3 + 2 N + 3 ⇒ X + 2 N + 3

The average age of a School of n Men is X years. Three new Men join the School whose ages are X – 1,&nbsp; X + 1 and X + 2 years. What is the new average age of the School?

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The average age of a School of n Men is X years. Three new Men join the School whose ages are X – 1, X + 1 and X + 2 years. What is the new average age of the School?

Option 1 -

$X + \frac{2}{N + 3}$

Option 2 -

$X + \frac{N}{3}$

Option 3 -

$X + \frac{3}{N + 2}$

Option 4 -

$X + \frac{N}{2}$

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1 Answer

Answered by

Raj Pandey | Contributor-Level 9

a month ago

Correct Option - 1

Detailed Solution:

The average age of n men is X year. Total age is given by N years

$\begin{array}{l} N e w a v e r a g e a g e = \frac{N X + X - 1 + X + 1 + X + 2}{N + 3} \\ = \frac{N X + 3 X + 2}{N + 3} \\ = \frac{X [N + 3]}{N + 3} + \frac{2}{N + 3} \\ \Rightarrow X + \frac{2}{N + 3} \end{array}$

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The average age of a School of n Men is X years. Three new Men join the School whose ages are X – 1, X + 1 and X + 2 years. What is the new average age of the School?

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