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HMMT 2015 Algebra #2 본문

HMMT/2015

HMMT 2015 Algebra #2

수악중독 2015. 3. 14. 20:02

The fraction $\dfrac{1}{2015}$ has a unique "(restricted) partial fraction decomposition" of the form $\dfrac{1}{2015}=\dfrac{a}{5}+\dfrac{b}{13}+\dfrac{c}{31},$ whrer $a, \; b, \; c$ are integers with $0 \le a<5$ and $0 \le b < 13$. Find $a+b$.

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