Tìm một số có ba chữ số biết rằng khi viết thêm chữ số 1 vào bên phải số đó thì được số gấp 3 lần số có được bằng cách viết thêm chữ số 2 vào bên trái số đó.
K
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Những câu hỏi liên quan
CM
15 tháng 12 2017
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
2 tháng 5 2015
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
20 tháng 10 2018
857 dung 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CM
3 tháng 5 2018
Gọi số có 5 chữ số cần tìm là x (x ∈ N; 10000 ≤ x ≤ 99999)
Khi thêm 1 vào bên phải số đó ta được số mới là số có 6 chữ số với chữ số hàng đơn vị là 1:
Khi đó số đã cho là số chục và số mới được viết là: 10x + 1.
Khi thêm 1 vào bên trái số đó ta được số mới là số có 6 chữ số với chữ số hàng trăm nghìn là 1
Khi đó số đã cho là số đơn vị và số mới được viết là: 100000 + x.
Theo đề bài ra nếu viết thêm 1 vào bên phải số đó thì được một số lớn gấp ba lần số nhận được khi ta viết thêm 1 vào bên trái số đó nên ta có phương trình
10x + 1 = 3(100000 + x)
⇔ 7x = 299999
⇔ x = 42857 (tmđk)
Vậy số cần tìm là 42857
NN
Nguyễn Ngọc Anh Minh
CTVHS
VIP
14 tháng 4 2016
Gọi số cần tìm là abcde
Ta có abcde1 = 3.1abcde
<=> 10.abcde + 1 = 300000 + 3.abcde
<=> 7.abcde = 299999 <=> abcde = 42857
abc1 = 2abc x 3
abc x10 +1 = (2000 + abc)x3
abc x10 + 1 = 6000 + abc x 3
abc x 7 = 5999
abc = 857