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Determinati numerele naturale ab( barat ) , stiind ca ba (barat )+5(a+2b)=124

Răspuns :

ba+5(a+2b)=124

10b+a + 5a+10b=124

20b+6a=124    /:2

10b+3a=62

ultima cifra a nr 10b=0

=> u(3a)=2 => a=4

10b+12=62

10b=50 => b=5

=> ab=45

Verificare: 54+5(4+2•5)=54+70=124