Question

What is the largest possible integer that can be chosen as one of five distinct positive integers whose average is 10?

Answer 1

Then the other 4 must be as small as possible, and since they are all distinct, the 4 smaller must be
1 , 2, 3, and 4

(1+2+3+4+x)/5 = 10
10+x = 50
x = 40
The largest such number is 40

check by taking any other 4
e.g.
(3+4+5+6+x)/5 = 10
x + 18 = 50
x = 32

Answer 2

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