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Sa se determine numărul abc, știind ca : abbc=abb+ab+a+1773

Răspuns :

abbc=abb+ab+a+1773

1000a+110b+c=100a+11b+10a+b+a+1773

1000a+110b+c=111a+12b+1773

1000a+110b+c-111a-12b+1773

889a+98b+c=1773

=> a=1

889+98b+c=1773

98b+c=1773-889=884

=> b=9

98•9+c=884

c=884-882

c=2

=> abc=192

verificare: 1992=199+19+1+1773 (A)