## Cayley 2023 Part C - Question 21, CEMC UWaterloo

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#### Difficulty: 5

#### This problem is tagged with cayley, cayley23, highschool.

**(Cayley 2023, Part C, Question 21, CEMC - UWaterloo)**

A line has equation $y = mx−50$ for some positive integer $m$. The line passes through the point $(a, 0)$ for some positive integer $a$. What is the sum of all possible values of $m$?

*Answer Submission Note(s)*

Your answer should be an integer from 0 to 99, inclusive.

Do NOT code a single digit answer with a leading zero, as you would in the actual contest.

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