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Question Number 86141 by TawaTawa1 last updated on 27/Mar/20

$$\mathrm{A}\mathrm{number}\mathrm{n}\mathrm{leaves}\mathrm{a}\mathrm{remainder}\mathrm{of}22\mathrm{when}\mathrm{divided}\mathrm{by}24\mathrm{and}$$$$\mathrm{remainder}30\mathrm{when}\mathrm{divided}\mathrm{by}33.\mathrm{Find}\mathrm{the}\mathrm{least}\mathrm{possible}$$$$\mathrm{value}\mathrm{of}\mathrm{n}$$

Commented by mr W last updated on 27/Mar/20

$$thereisnosuchnumber!$$

Commented by Kunal12588 last updated on 27/Mar/20

$$n=24p+22$$$$n=33q+30$$$$24p-33q=8$$$$\Rightarrow 24p-33p+33\delta =0[letq=p-\delta ]$$$$\Rightarrow 33\delta -9p=8$$$$\Rightarrow 11\delta -3p=\frac{8}{3}$$$$\Rightarrow nosolutioninnaturalno.$$

Commented by Kunal12588 last updated on 27/Mar/20

$$sircananyonesuggestabookonnumber$$$$theoryplease,fromthebasics.$$

Commented by Rio Michael last updated on 27/Mar/20

$$\mathrm{Edexcel}\mathrm{AS}\mathrm{and}\mathrm{A}\mathrm{level}\mathrm{further}\mathrm{mathematics}$$

Commented by TawaTawa1 last updated on 27/Mar/20

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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