The average of three different positive integers is 8. What is the largest integer that could be one of them.

1 answer:

7 0

Supposing that the integers are x, y and z, and that their average is 8, then

x+y+z
-------- = 8, or x + y + z = 24.
3

Let's experiment. Making up a table, we get:

x y z sum (sum MUST be 24)
5 9 10 24
4 9 11 24
3 10 11 24
2 11 11 24
1 11 12 24
1 10 13 24
1 1 22 24

Can't choose integers smaller than 1, so it appears that 22 is the largest possible integer that could be one of x, y and z.

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