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Determina cele trei numere a b c stiind ca

a+b+c=905
b:a=3 rest 3
c:b=20 rest 10


Răspuns :

a+b+c=905
b:a=3 r 3=>b=3a+3
c:b=20 r 10 =>c=20b+10
a+3a+3+20(3a+3)+10=905
a+3a+3+60a+60+10=905
64a+73=905
64a=905-73
64a=832
a=832:64
a=13
b=3x13+3=39+3
b=42
c=20x42+10=840+10
c=850
proba
13+42+850=905
b:a=42:13=3 r 3
c:b=850:42=20 r 10