Question 1143714
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In any set of an odd number of consecutive positive integers, the mean and the median are the same.<br>
So we have a set S consisting of 5 consecutive positive integers with a mean of 13; that means a middle number 13 with the 2 integers either side of 13.<br>
We are looking for the largest number in a set T consisting of 11 positive integers with middle number 13.  That means middle number 13 with 5 integers either side of 13.<br>
That makes the largest integer in set T 13+5 = 18.