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Question Number 12030 by tawa last updated on 09/Apr/17

Answered by mrW1 last updated on 10/Apr/17

I think none of the answers is correct.  A. Y=4  2_9 ×(34)_9 =2×31=62  3_5 ×(34)_5 =3×19=57≠62    B. Y=3  2_9 ×(33)_9 =2×30=60  3_5 ×(33)_5 =3×18=54≠60    C. Y=2  2_9 ×(32)_9 =2×29=58  3_5 ×(32)_5 =3×17=51≠58    D. Y=1  2_9 ×(31)_9 =2×28=56  3_5 ×(31)_5 =3×16=48≠56

$${I}\:{think}\:{none}\:{of}\:{the}\:{answers}\:{is}\:{correct}. \\ $$$${A}.\:{Y}=\mathrm{4} \\ $$$$\mathrm{2}_{\mathrm{9}} ×\left(\mathrm{34}\right)_{\mathrm{9}} =\mathrm{2}×\mathrm{31}=\mathrm{62} \\ $$$$\mathrm{3}_{\mathrm{5}} ×\left(\mathrm{34}\right)_{\mathrm{5}} =\mathrm{3}×\mathrm{19}=\mathrm{57}\neq\mathrm{62} \\ $$$$ \\ $$$${B}.\:{Y}=\mathrm{3} \\ $$$$\mathrm{2}_{\mathrm{9}} ×\left(\mathrm{33}\right)_{\mathrm{9}} =\mathrm{2}×\mathrm{30}=\mathrm{60} \\ $$$$\mathrm{3}_{\mathrm{5}} ×\left(\mathrm{33}\right)_{\mathrm{5}} =\mathrm{3}×\mathrm{18}=\mathrm{54}\neq\mathrm{60} \\ $$$$ \\ $$$${C}.\:{Y}=\mathrm{2} \\ $$$$\mathrm{2}_{\mathrm{9}} ×\left(\mathrm{32}\right)_{\mathrm{9}} =\mathrm{2}×\mathrm{29}=\mathrm{58} \\ $$$$\mathrm{3}_{\mathrm{5}} ×\left(\mathrm{32}\right)_{\mathrm{5}} =\mathrm{3}×\mathrm{17}=\mathrm{51}\neq\mathrm{58} \\ $$$$ \\ $$$${D}.\:{Y}=\mathrm{1} \\ $$$$\mathrm{2}_{\mathrm{9}} ×\left(\mathrm{31}\right)_{\mathrm{9}} =\mathrm{2}×\mathrm{28}=\mathrm{56} \\ $$$$\mathrm{3}_{\mathrm{5}} ×\left(\mathrm{31}\right)_{\mathrm{5}} =\mathrm{3}×\mathrm{16}=\mathrm{48}\neq\mathrm{56} \\ $$

Commented by tawa last updated on 10/Apr/17

God bless you sir.

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

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