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29 tháng 8 2015

Gọi số cần tìm là abc (a khác 0; a; b; c khác 0)

Hai Số mới là: abc1; 2abc

Theo bài cho : Số này gấp 3 lần số kia

+) Nếu  abc1 = 3 x 2abc 

=> abc0 + 1 = 3 x (2000 + abc)

=> abc x 10 + 1 = 6000 + 3 x abc

=> abc x 7 = 5999 

=> abc = 5999 : 7 = 857

+) Nếu 2abc = 3 x abc1

=>  2000 + abc = 3 x (abc0  + 1)

=> 2000 + abc = abc x 30 + 3

=> 1997 = abc x 29

abc > 100 => abc x 29 > 100 x 29 = 2900 > 1997 

Vậy không tồn tại số abc thỏa mãn

Vậy số cần tìm là 857

18 tháng 6 2021

Đặt số cần tìm là \(\overline{abc}\) thì 2 số mới là \(\overline{abc1}\) và \(\overline{2abc}\)

+ Nếu \(\overline{abc1}=3x\overline{2abc}\Rightarrow10x\overline{abc}+1=6000+3x\overline{abc}\)

\(\Rightarrow7x\overline{abc}=5999\Rightarrow\overline{abc}=5999:7=857\) 

+Nếu \(\overline{2abc}=3x\overline{abc1}\Rightarrow2000+\overline{abc}=30x\overline{abc}+3\)

\(\Rightarrow29x\overline{abc}=1997\Rightarrow\overline{abc}=1997:29\)  là phép chia có dư nên loại

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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3 tháng 7 2017

Gọi số cần tìm là abc  :

Theo đề bài 3 x 1abc = abc4  

=> 3 x (1000+abc )=abc x10 +4

=>3000+3 x abc =abc x 10 +4

=> 3000-4= abc x 10 -3 x abc

=>2996=abc(10-3)

=>2996=abc x 7

=>abc=2996:7

=>abc=428

vậy số cần tìm là 428

3 tháng 7 2017

mik làm lộn rồi 

số đó là 857

1. Tìm một số tự nhiên có 2 chữ số, biết rằng nếu thêm chữ số 7 vào bên trái số đó ta được một số lớn gấp 36 lần số đã cho. 2. Tìm một số có 3 chữ số, biết rằng khi viết thêm số 30 vào bên trái số đó ta được một số lớn gấp 151 lần số phải tìm.3. Tìm một số có 2 chữ số, biết rằng khi viết thêm chữ số 5 vào bên phải số đó ta được số lớn hơn số phải tìm 554 đơn vị.4. Tìm một số...
Đọc tiếp

1. Tìm một số tự nhiên có 2 chữ số, biết rằng nếu thêm chữ số 7 vào bên trái số đó ta được một số lớn gấp 36 lần số đã cho. 

2. Tìm một số có 3 chữ số, biết rằng khi viết thêm số 30 vào bên trái số đó ta được một số lớn gấp 151 lần số phải tìm.

3. Tìm một số có 2 chữ số, biết rằng khi viết thêm chữ số 5 vào bên phải số đó ta được số lớn hơn số phải tìm 554 đơn vị.

4. Tìm một số có 2 chữ số, biết rằng khi viết thêm số 78 vào bên phải số đó ta được số lớn hơn số phải tìm 1266 đơn vị.

5. Khi viết thêm số 85 vào bên phải một số tự nhiên có 3 chữ số thì số đó tăng thêm 43348 đơn vị. Tìm số có 3 chữ số đó.

6. Khi viết thêm số 65 vào bên phải một số tự nhiên thì số đó tăng thêm 78176 đơn vị. Tìm số đó.

7. Khi viết thêm số 56 vào bên phải một số tự nhiên thì số đó tăng thêm 122222 đơn vị. Tìm số đó.

1
10 tháng 12 2021

\(1,\Rightarrow\overline{7ab}=36\cdot\overline{ab}\Rightarrow\overline{ab}+700=36\cdot\overline{ab}\\ \Rightarrow35\cdot\overline{ab}=700\Rightarrow\overline{ab}=20\\ 2,\Rightarrow\overline{30abc}=151\cdot\overline{abc}\Rightarrow\overline{abc}+30000=151\cdot\overline{abc}\\ \Rightarrow\overline{abc}\cdot150=30000\Rightarrow\overline{abc}=200\\ 3,\Rightarrow\overline{ab5}=10\cdot\overline{ab}+5=554+\overline{ab}\\ \Rightarrow\overline{ab}\cdot9=549\Rightarrow\overline{ab}=61\\ 4,\Rightarrow\overline{ab78}=\overline{ab}\cdot100+78=1266+\overline{ab}\\ \Rightarrow\overline{ab}\cdot99=1188\Rightarrow\overline{ab}=12\\ 5,\Rightarrow\overline{abc85}=\overline{abc}\cdot100+85=43348+\overline{abc}\\ \Rightarrow\overline{abc}\cdot99=43263\Rightarrow\overline{abc}=437\\ 6,7,\text{Đề thiếu}\)

10 tháng 12 2021

thank you

 

12 tháng 8 2016

Gọi số đó là abc.Ta có:

              abc8=2*1abc

=>abc*10+8=2*1000+2*abc

=>abc*10-abc*2=2000-8

=>abc*8=1992

=>abc=1992:8

=>abc=249

Vậy số cần tìm là 249

12 tháng 8 2016

Gọi số cần tìm là abc:

Ta có:

abc8 = 2 x 1abc

abc x 10 + 8 = 2000 x abc + 2 x abc

abc x 10 - abc x 2 = 2000 - 8

abc x 8 = 1992 

abc = 1992 : 8

abc = 249

Vậy số cần tìm là 249

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