Numbers & Algebra

1:

Average age of a team of 15 employees is 36. Youngest of them is 20 years old and eldest is 56 years old. Two of them with average age 28 leave the team. If one of the two comes back on the condition that he will be made the team leader, then which of the following can possibly be average age of the new team so formed?

A.

35

B.

36

C.

38

D.

39

 

Answer : B

Explanation :

Total age = 15 x 36
After two left, total age = 15 x 36 - 2 x 28 = 540 - 56 = 484 years.
Let the age of the person who returns be x years.
Then new average = (484 +x) / 14
Now x lies between 20 and 36 (both inclusive)
New average min = (484 + 20) /14 = 36 years
And New average max = (484 +36)/14 = 520/14 = 37.14. years

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Option: A

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