SOLUTION: If the average (arithmetic mean) of four different positive integers is 50, what is the greatest value of one of the integers?

Question 198689: If the average (arithmetic mean) of four different positive integers is 50, what
is the greatest value of one of the integers?
Found 2 solutions by jim_thompson5910, arallie:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the average equation. We'll make "z" the largest number.

Multiply both sides by 5.

Multiply

Solve for "z"

So for "z" to be a maximum, the value of must be a minimum. Since the integers are positive and the smallest positive integer is 1, this means that which means that . So....

This means that the largest integer is 197.
Answer by arallie(162) (Show Source): You can put this solution on YOUR website!
Here we go:
If when and and
If and
Then
If a=1, b=2, c=3 as the lowest positive integers possible in
Then
Highest possible integer when 4 positive integers are averaged is 194.
Anymore questions feel free to ask me.
Anthony Allie
arallie@gmail.com
http://arallie.webs.com/tutoring.htm
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