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Determinati nr naturale abc care verifica relatia abc=ab+bc+ca​

Răspuns :

abc=ab+bc+ca

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

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

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

89a=10c+b

89a=cb

=> a=1 cb=89

a=1; b=9; c=8

abc=198