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Răspuns:

abc:cba=5 rest 46

b-c=2=>b=2+c

abc=5cba+46

100a+10a+c=5(100c+10b+a)+46

100a+10b+c=500c+50b+5a+46

100a-5a=500c-c+50b-10b+46

95a=499c+40b+46

95a=499c+40(c+2)+46

95a=499c+40c+80+46

95a=539c+126

c=1=>95a=539+126

95a=665=>a=665:95=>a=7, b=3

numărul cautat este: 731

Răspuns:

abc:cba = 5, rest 46

b-c=2 => b = 2+c

abc = 5cba+46

100a+10a+c = 5(100c+10b+a)+46

100a+10b+c = 500c+50b+5a+46

100a-5a = 500c-c+50b-10b+46

95a = 499c+40b+46

95a = 499c+40(c+2)+46

95a = 499c+40c+80+46

95a = 539c+126

c = 1 => 95a = 539+126

95a = 665 => a = 665:95 => a = 7; b = 3

=> abc = 731