SOLUTION: The sum of ten positive odd integers is 22. Some of these integers are equal to each other. What is the greatest possible value of one of these integers? (A) 21 (B) 13 (C) 11

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The sum of ten positive odd integers is 22. Some of these integers are equal to each other. What is the greatest possible value of one of these integers? (A) 21 (B) 13 (C) 11      Log On


   

Question 337148: The sum of ten positive odd integers is 22. Some of these integers are equal to each other. What is the greatest possible value of one of these integers?
(A) 21 (B) 13 (C) 11 (D) 9 (E) 7
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The largest of the 10 odd positive integers will as large
as possible if all the other 9 are as small as possible.  So
if we make the other 9 odd integers all 1's, they will have 
sum 9 and that will make the 10th integer have to be 22-9 or 13.

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 13 = 22

Edwin