Question Number 194586 by Shrinava last updated on 10/Jul/23
$$\mathrm{abc}\:=\:\mathrm{e}^{\mathrm{3}} \:+\:\mathrm{d}^{\mathrm{3}} \:+\:\mathrm{f}^{\mathrm{3}} \\ $$$$\mathrm{edf}\:=\:\mathrm{a}^{\mathrm{3}} \:+\:\mathrm{b}^{\mathrm{3}} \:+\:\mathrm{c}^{\mathrm{3}} \\ $$$$\mathrm{find}:\:\mathrm{abc}\:\:\mathrm{and}\:\:\mathrm{edf}\: \\ $$
Commented by Shrinava last updated on 10/Jul/23
$$\mathrm{find}\:\mathrm{the}\:\mathrm{three}−\mathrm{digit}\:\mathrm{numbers} \\ $$$$\mathrm{abc}\:\mathrm{and}\:\mathrm{edf} \\ $$
Commented by Frix last updated on 10/Jul/23
$$\mathrm{Info}\:\mathrm{missing}?! \\ $$
Answered by Frix last updated on 10/Jul/23
$$\mathrm{I}\:\mathrm{wrote}\:\mathrm{a}\:\mathrm{short}\:\mathrm{program} \\ $$$${abc}=\mathrm{136}\wedge{edf}=\mathrm{244} \\ $$$${abc}=\mathrm{244}\wedge{edf}=\mathrm{136} \\ $$$${abc}={edf}=\mathrm{153} \\ $$$${abc}={edf}=\mathrm{370} \\ $$$${abc}={edf}=\mathrm{371} \\ $$$${abc}={edf}=\mathrm{407} \\ $$