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Question-202034




Question Number 202034 by cortano12 last updated on 19/Dec/23
Answered by MM42 last updated on 19/Dec/23
if (7/3)<a<(7/2)⇒⌊(7/a)⌋+⌊(a/7)⌋=2  if   14<a<21⇒⌊(7/a)⌋+⌊(a/7)⌋=2
$${if}\:\frac{\mathrm{7}}{\mathrm{3}}<{a}<\frac{\mathrm{7}}{\mathrm{2}}\Rightarrow\lfloor\frac{\mathrm{7}}{{a}}\rfloor+\lfloor\frac{{a}}{\mathrm{7}}\rfloor=\mathrm{2} \\ $$$${if}\:\:\:\mathrm{14}<{a}<\mathrm{21}\Rightarrow\lfloor\frac{\mathrm{7}}{{a}}\rfloor+\lfloor\frac{{a}}{\mathrm{7}}\rfloor=\mathrm{2} \\ $$$$ \\ $$

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