tìm số có 3c/s . biết rằng khi viết thêm c/s 1 vào bên phải số đó thì được 1 số gấp 3 lần số có được bằng cách viết thêm c/s2 vào bên trái số đó
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abc1 = 2abc x 3
abc x10 +1 = (2000 + abc)x3
abc x10 + 1 = 6000 + abc x 3
abc x 7 = 5999
abc = 857
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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abc1 = 2abc x 3 abc x10 +1 = (2000 + abc)x3 abc x10 + 1 = 6000 + abc x 3 abc x 7 = 5999 abc = 857 axb=5.(0<a,b<=5) a=5xb. Nen b = 1( vi a <hoac = 5) vay a=5
Gọi số càn tìm là \(\overline{ab}\)
\(\Rightarrow\overline{cab}=3.\overline{ab}\)
\(\Rightarrow100c+10a+b=3.\left(10a+b\right)\)
\(\Rightarrow100c+10a+b=30a+3b\)
\(\Rightarrow100c=20a+2b\)
\(\Rightarrow50c=10a+b\)
Ta có:\(50c⋮10;10a⋮10\)
\(\Rightarrow b⋮10\Rightarrow b==0\)
\(\Rightarrow50c=10a\)
\(\Rightarrow5c=a\Rightarrow a=5;c=1\Rightarrow\overline{ab}=50;c=1\)