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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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