Giúp tui làm câu hỏi này với:
Tìm số có 3 chữ số, biết rằng khi viết thêm chữ số 1 vào bên phải số đó thì ta được một số gấp 3 lần số có được bằng cách viết thêm chữ số 9 vào bên trái số đó
K
Khách
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Những câu hỏi liên quan
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
7 tháng 10 2018
abc1 = 2abc x 3
abc x10 +1 = (2000 + abc)x3
abc x10 + 1 = 6000 + abc x 3
abc x 7 = 5999
abc = 857
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
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
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
NM
Nguyễn Minh Quang
Giáo viên
7 tháng 3 2021
1. khi thêm 4 vào bên trái số đó nghĩa là ta đã cộng thêm với 400
ta được số mới gấp 9 lần số ban đầu
nên 400 gấp 8 lần số ban đầu
hay số ban đầu là \(400:8=50\)
2. khi thêm 9 vào bên trái số đó nghĩa là ta đã cộng thêm với 900
ta được số mới gấp 13 lần số ban đầu
nên 900 gấp 12 lần số ban đầu
hay số ban đầu là \(900:12=75\)
