Problem:
The mean age of Amanda's cousins is , and their median age is . What is the sum of the ages of Amanda's youngest and oldest cousins?
Answer Choices:
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Solution:
Because the mean is , it follows that the sum of the ages of all Amanda's cousins is . Because the median age is , the sum of the two middle ages is . Then the sum of the ages of Amanda's youngest and oldest cousins is .
The problems on this page are the property of the MAA's American Mathematics Competitions