SOLUTION: The counting numbers are 1,2,3,4, and so on. If the sum of three different, odd counting numbers is less than 10, what is the largest of the three? CLUE: The answer is less than

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Question 402344: The counting numbers are 1,2,3,4, and so on. If the sum of three different, odd counting numbers is less than 10, what is the largest of the three?
CLUE: The answer is less than 9.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The counting numbers 1, 3, 5 add up to 9, which is less than 10. However, if we choose any other set of three distinct counting numbers, the sum would be at least 10 (since we know that {1, 3, 5} has the minimal sum). Therefore {1, 3, 5} is the only such set and the largest of the numbers is 5.