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Question-204384




Question Number 204384 by Abdullahrussell last updated on 15/Feb/24
Commented by Frix last updated on 15/Feb/24
35^(36) =10m+5  36^(35) =10n+6  4^(10m+5) =100k+24  4^(10n+6) =100lāˆ’4  ā‡’ answer is 28
$$\mathrm{35}^{\mathrm{36}} =\mathrm{10}{m}+\mathrm{5} \\ $$$$\mathrm{36}^{\mathrm{35}} =\mathrm{10}{n}+\mathrm{6} \\ $$$$\mathrm{4}^{\mathrm{10}{m}+\mathrm{5}} =\mathrm{100}{k}+\mathrm{24} \\ $$$$\mathrm{4}^{\mathrm{10}{n}+\mathrm{6}} =\mathrm{100}{l}āˆ’\mathrm{4} \\ $$$$\Rightarrow\:\mathrm{answer}\:\mathrm{is}\:\mathrm{28} \\ $$

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