Question Number 91732 by I want to learn more last updated on 02/May/20
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{least}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\:\:\mathrm{x} \\ $$$$\:\:\:\:\mathrm{8x}\:\equiv\:\mathrm{24}\:\left(\mathrm{mod}\:\mathrm{16}\right)\:\:\:\:\:....\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\mathrm{3x}\:\equiv\:\mathrm{6}\:\left(\mathrm{mod}\:\mathrm{25}\right)\:\:\:\:\:\:....\:\left(\mathrm{ii}\right) \\ $$
Commented by mr W last updated on 02/May/20
$$\mathrm{8}{x}=\mathrm{24},\:\mathrm{40},\:\mathrm{56},\:.... \\ $$$$\Rightarrow{x}=\mathrm{3},\:\mathrm{5},\:\mathrm{7},\:.... \\ $$$$ \\ $$$$\mathrm{3}{x}=\mathrm{6},\:\mathrm{81},\mathrm{156},... \\ $$$$\Rightarrow{x}=\mathrm{2},\mathrm{27},\mathrm{52},... \\ $$$$ \\ $$$$\Rightarrow{x}_{{min}} =\mathrm{27} \\ $$
Commented by I want to learn more last updated on 02/May/20
$$\mathrm{Thanks}\:\mathrm{sir} \\ $$