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Detrminati nr naturale abc care verifica relatia abc =ab+bc+ca

Răspuns :

Lucasela

abc=ab+bc+ca

100a+10b+c=11a+11b+11c

100a-11a=11b-10b+11c-c

89•a=10c+b

89•a=cb; cb<100

=> a=1 si cb=89; => b=9; c=8

abc=198

198=19+98+81   (A)