If-20-mod-9-is-equivalent-to-y-mod-6-Find-y-

Question Number 175103 by Tawa11 last updated on 19/Aug/22

$$\mathrm{If}\:\:\mathrm{20}\:\left(\mathrm{mod}\:\mathrm{9}\right)\:\:\mathrm{is}\:\mathrm{equivalent}\:\mathrm{to}\:\:\:\mathrm{y}\:\left(\mathrm{mod}\:\mathrm{6}\right).\:\:\mathrm{Find}\:\:\mathrm{y} \\ $$

Answered by Rasheed.Sindhi last updated on 19/Aug/22

$$\mathrm{20}\left(\mathrm{mod}\:\mathrm{9}\right)=\mathrm{11} \\ $$$$\mathrm{y}\equiv\mathrm{11}\left(\mathrm{mod}\:\mathrm{6}\right) \\ $$$$\mathrm{y}\equiv\mathrm{11}−\mathrm{6}=\mathrm{5}\left(\mathrm{mod}\:\mathrm{6}\right) \\ $$$$\mathrm{y}\equiv\mathrm{5}\left(\mathrm{mod}\:\mathrm{6}\right) \\ $$

Commented by Tawa11 last updated on 19/Aug/22

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{Sir},\:\mathrm{but}\:\mathrm{they}\:\mathrm{choose}\:\:\mathrm{y}\:\:=\:\:\mathrm{3}. \\ $$

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