Lê Quốc Trần Anh Coordinator
03/08/2017 at 08:48-
Lãng Tử Hào Hoa 03/08/2017 at 10:18
Transform: \(\overline{a,bc}\div\left(a+b+c\right)=0,25\)
\(\Leftrightarrow\overline{abc}=25\left(a+b+c\right)\Rightarrow\overline{abc}⋮25\)
\(\Rightarrow\overline{bc}=\left\{25;50;75\right\}\) (attention: kind \(\overline{bc}=00\) because \(b=c\))
+) If \(\overline{bc}=25\Rightarrow\overline{a25}=25\left(a+7\right)\)
\(\Rightarrow100a+25=25a+175\Rightarrow75a=150\Rightarrow a=2\) (unsatisfactory)
+) If \(\overline{bc}=50\Rightarrow\overline{a50}=25\left(a+5\right)\)
\(\Rightarrow100a+50=25a+125\Rightarrow75a=75\Rightarrow a=1\)
+) If \(\overline{bc}=75\Rightarrow\overline{a75}=25\left(a+12\right)\)
\(\Rightarrow100a+75=25a+300\Rightarrow75a=225\Rightarrow a=3\)
Conclude:...
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