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Three sisters have an average (arithmetic mean) age of 25 years and a median age of 24 years...

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by AAPL » Tue Aug 25, 2020 4:27 am
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Three sisters have an average (arithmetic mean) of 25 years and a median of 24 years. What is the minimum possible age, in years, of the oldest sister?

A. 24
B. 25
C. 26
D. 27
E. 28

OA D
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Re: Three sisters have an average (arithmetic mean) age of 25 years and a median age of 24 years...

by Scott@TargetTestPrep » Sat Sep 05, 2020 12:20 pm
AAPL wrote: ↑
Tue Aug 25, 2020 4:27 am
 Manhattan Prep

Three sisters have an average (arithmetic mean) of 25 years and a median of 24 years. What is the minimum possible age, in years, of the oldest sister?

A. 24
B. 25
C. 26
D. 27
E. 28

OA D
Solution:

Since 3 sisters have an average age of 25 years, the sum of their ages is 75.

To minimize the age of the oldest sister, we want to maximize the ages of the two youngest sisters. Since the median is 24, the two youngest sisters could both be 24 years old.

Thus, the minimum possible age of the oldest sister is 75 - (24 + 24) = 75 - 48 = 27.

Answer: D

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