\(\overline{15abc0}+\overline{abc}=1010\)
\(\left(150000+\overline{abc0}\right):\overline{abc}=1010\)
\(150000:\overline{abc}+\overline{abc0}:\overline{abc}=1010\)
\(150000:\overline{abc}+10=1010\)
\(150000:\overline{abc}=1010-10\)
\(150000:\overline{abc}=1000\)
\(\overline{abc}=150000:1000\)
\(\overline{abc}=150\)
\(\overline{15abc0}\div\overline{abc}=1010\)
\(\Leftrightarrow\overline{15abc0}=1010\times\overline{abc}\)
\(\Leftrightarrow150.000+\overline{abc0}=\overline{abc}\times1010\)
\(\Leftrightarrow150.000+\overline{abc}\times10=\overline{abc}\times1010\)
\(\Leftrightarrow150.000=\overline{abc}\times1010-\overline{abc}\times10\)
\(\Leftrightarrow150.000=\overline{abc}\times1000\)
\(\Leftrightarrow\overline{abc}=\frac{150.000}{1000}\)
\(\Leftrightarrow\overline{abc}=150\)
HOK TOT
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