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Algebra Difficulty 1.4 Junior Find the answer Canada

The sum of $10$ positive
integers is $30$ . What is the largest
number that can be used in this sum?

Pick one

Solution

To determine the largest possible integer that can be used in
this sum, we let each of the other $9$ positive integers be as small as
possible. The smallest positive integer is $1$ , and so we let $9$ of the numbers in the sum each be equal
to $1$ . Thus, the largest positive
integer that can be used in this sum is $30-9\times1=21$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.