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Question-138513




Question Number 138513 by mathlove last updated on 14/Apr/21
Answered by MJS_new last updated on 14/Apr/21
AB+9=3(BA)  10A+B+9=30B+3A  A=((29B−9)/7) ⇒ B=2∧A=7  72+9=3×27  A+B=9
$${AB}+\mathrm{9}=\mathrm{3}\left({BA}\right) \\ $$$$\mathrm{10}{A}+{B}+\mathrm{9}=\mathrm{30}{B}+\mathrm{3}{A} \\ $$$${A}=\frac{\mathrm{29}{B}−\mathrm{9}}{\mathrm{7}}\:\Rightarrow\:{B}=\mathrm{2}\wedge{A}=\mathrm{7} \\ $$$$\mathrm{72}+\mathrm{9}=\mathrm{3}×\mathrm{27} \\ $$$${A}+{B}=\mathrm{9} \\ $$

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