1966 AHSME Problems/Problem 26
Problem
Let be a positive integer and let the lines and intersect in a point whose coordinates are integers. Then m can be:
Solution
Substitute the second equation into the first one, we have .
So . So is a factor of . , so the factors of are: .
Clearly, because , so . So we only need to check whether is an integer when .
When , .
Checking the other two choices, dosen't yield to be an integer. So is the only option. Select .
~hastapasta
See also
1966 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 25 |
Followed by Problem 27 | |
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