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Category: Number Theory

prove-that-if-an-integer-n-is-not-divisible-by-2-or-3-then-n-2-1-mod-24-

Question Number 217129 by ArshadS last updated on 02/Mar/25 provethatifanintegernisnotdivisibleby2or3thenn21(mod24) Commented by A5T last updated on 02/Mar/25 Thisisnotnecessarilytrue.$$\mathrm{n}\:\mathrm{could}\:\mathrm{also}\:\mathrm{be}\:\equiv\:\mathrm{5},\mathrm{7},\mathrm{11},\mathrm{13},\mathrm{17},\mathrm{19},\mathrm{23}\:\left(\mathrm{mod}\:\mathrm{24}\right)…

Find-all-two-digit-numbers-that-are-equal-to-four-times-the-sum-of-their-digits-Solve-this-using-at-least-two-different-methods-and-verify-your-answers-

Question Number 217071 by ArshadS last updated on 28/Feb/25 Findalltwodigitnumbersthatareequaltofourtimesthesumoftheirdigits.Solvethisusingatleasttwodifferentmethodsandverifyyouranswers. Answered by som(math1967) last updated on 28/Feb/25 $$\:{x}+\mathrm{10}{y}=\mathrm{4}\left({x}+{y}\right) \