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Question-177005




Question Number 177005 by Ar Brandon last updated on 29/Sep/22
Answered by Rasheed.Sindhi last updated on 29/Sep/22
3x+7≡12[29]  3x≡5+29×2[29]  3x≡63[29]  x=21[29]  x=21+29k  max negative value:x=21+29(−1)=−8  min positive value:x=21+29(0)=21  Total=13  (Option E)
$$\mathrm{3}{x}+\mathrm{7}\equiv\mathrm{12}\left[\mathrm{29}\right] \\ $$$$\mathrm{3}{x}\equiv\mathrm{5}+\mathrm{29}×\mathrm{2}\left[\mathrm{29}\right] \\ $$$$\mathrm{3}{x}\equiv\mathrm{63}\left[\mathrm{29}\right] \\ $$$${x}=\mathrm{21}\left[\mathrm{29}\right] \\ $$$${x}=\mathrm{21}+\mathrm{29}{k} \\ $$$${max}\:{negative}\:{value}:{x}=\mathrm{21}+\mathrm{29}\left(−\mathrm{1}\right)=−\mathrm{8} \\ $$$${min}\:{positive}\:{value}:{x}=\mathrm{21}+\mathrm{29}\left(\mathrm{0}\right)=\mathrm{21} \\ $$$$\mathcal{T}{otal}=\mathrm{13}\:\:\left({Option}\:{E}\right) \\ $$
Commented by Ar Brandon last updated on 29/Sep/22
Thank you Sir
Commented by Tawa11 last updated on 02/Oct/22
Great sir
$$\mathrm{Great}\:\mathrm{sir} \\ $$

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