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numarul natural abcd -bara de asupra- care verifica relatia :
3abcd -bara deasupra- + abcd3 - bara deasupra- = 43016


Numarul Natural Abcd Bara De Asupra Care Verifica Relatia 3abcd Bara Deasupra Abcd3 Bara Deasupra 43016 class=

Răspuns :

[tex]\it \overline{3abcd}+\overline{abcd3}=43016 \Rightarrow 3\cdot10000+\overline{abcd}+\overline{abcd}\cdot10+3=43016 \Rightarrow\\ \\ \\ \Rightarrow 30003+11\cdot\overline{abcd}=43016|_{-43016} \Rightarrow 11\cdot\overline{abcd}=13013|_{:11} \Rightarrow \overline{abcd}=1183[/tex]