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Gọi số cần tìm có dạng tổng quát là \(X=\overline{abc}\)
Viết thêm chữ số 3 vào bên trái thì được số mới gấp 6 lần số cần tìm nên ta có: \(\overline{3abc}=6\cdot\overline{abc}\)
=>\(3000+X=6X\)
=>5X=3000
=>X=600
Vậy: Số cần tìm là 600
Bạn xem lại đề, viết thêm chữ số mấy vào bên trái vậy?
\(1,\Rightarrow\overline{7ab}=36\cdot\overline{ab}\Rightarrow\overline{ab}+700=36\cdot\overline{ab}\\ \Rightarrow35\cdot\overline{ab}=700\Rightarrow\overline{ab}=20\\ 2,\Rightarrow\overline{30abc}=151\cdot\overline{abc}\Rightarrow\overline{abc}+30000=151\cdot\overline{abc}\\ \Rightarrow\overline{abc}\cdot150=30000\Rightarrow\overline{abc}=200\\ 3,\Rightarrow\overline{ab5}=10\cdot\overline{ab}+5=554+\overline{ab}\\ \Rightarrow\overline{ab}\cdot9=549\Rightarrow\overline{ab}=61\\ 4,\Rightarrow\overline{ab78}=\overline{ab}\cdot100+78=1266+\overline{ab}\\ \Rightarrow\overline{ab}\cdot99=1188\Rightarrow\overline{ab}=12\\ 5,\Rightarrow\overline{abc85}=\overline{abc}\cdot100+85=43348+\overline{abc}\\ \Rightarrow\overline{abc}\cdot99=43263\Rightarrow\overline{abc}=437\\ 6,7,\text{Đề thiếu}\)
Gọi 3 số là abc
theo đb ta có
abc1=3 x 2abc
abc x 10 +1 =3x 2000+3abc
7 abc= 5999
abc=857
vậy số đó là 857
857 dung 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Ta coi số đó là abc:
abc x 6=3abc
abc x 6 = 3000 +abc
Ta bớt mỗi bên abc, ta có:
abc x 6 -abc=3000 +abc - abc
abc x 5 =3000
abc=3000:5
abc=600
Vì ta viết thêm chữ số 3 vào bên trái của một số có 3 chữ số ta được số mới nên số mới hơn số ban đầu là: 3000 đơn vị
Ta có sơ đồ:
Theo sơ đồ ta có: Số cũ là 3 000 : (6 - 1) = 600
Đáp số: 600