The mean of a set of five different positive integers is 15. The median is 18. Find the maximum possible value of the largest of these five integers.

35 (the sequence is 1,2,18,19,35)

Step-by-step explanation:

So you have 5 numbers a, b, 18, c, d ordered from low to high.

18 is given because it is the median.

If the mean is 15, the sum must be 75 (because 75/5=15).

d must be as high as possible, so the others must be as low as possible, but positive and different.

So let's say a=1 and b=2, we can't get any lower than that.

c can be no lower than 19, otherwise we'd lose the median.

That leaves for d = 75 - 19-18-2-1 = 35.

nice one

The median cant be 18 as this is physicaly impossible