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prealgebra junior

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?
(A)
(B)
(C)
(D)
Solution
The sum of the ages of the cousins is times the mean, or . There are an even number of cousins, so there is no single median, so must be the mean of the two in the middle. Therefore the sum of the ages of the two in the middle is . Subtracting from produces .
Final answer
D