Question

Tìm a;b;c biết:

206abc:501=abc

Answer 1

206abc : 501=abc

﴾206000 + abc﴿:501 = abc

﴾206000 + abc﴿:abc = 501

206000:abc + 1 = 501

206000 : abc = 500

=> abc = 206000 : 500 = 412 

Answer 2

206abc : 501 = abc

=> 206000 + abc = 501 . abc

=> 206000 = 501 . abc - abc

=> 206000 = 500 . abc

=> abc = 206000 : 500

=> abc = 412

Vậy a = 4; b = 1; c = 2.

Answer 3

\(\Leftrightarrow\overline{206abc}=501\times\overline{abc}\)

\(\Leftrightarrow206000+\overline{abc}=501\times\overline{abc}\)

\(\Leftrightarrow206000=500\times\overline{abc}\)

\(\Leftrightarrow\overline{abc}=\frac{206000}{500}=412\)

Vậy, a = 4; b = 1; c = 2.