.tìm chữ số thích hợp
abcd - ab = 3663
K
Khách
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Những câu hỏi liên quan
SB
24 tháng 7 2016
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fd
fg
g
g
g
g
g
g
g
g
g
g
g
g
g
yh
u
yt
tu
yt
eawr
we
r
tt
ryh
fyu
gfykhj
k
j
lhj
gi8
et
e
rsdth
dfyg
hndf
jfh
frghy
fg
h
f
j
fh
f
g
d
gf
h
fh
dhfg
dfhf
tr;dg
dg
g
fh
g
hg
g
gh
gg
h
hg
hg
h
t
t
t
t
t
sd
d
xdf
ghf
j
ghu
i
tfr
cxf
j
udse5ytr
77es
5
65
6
t
frf
g
c
g
tr
yt
f
v
g
v
tf
,
tfv
j
f
b
t
b
hy
n
gh
g
g
g
g
gf
41
4
4
2
42
24
24
24
24
24
2
5
2
24
44
2
45
452
2
12
2
2
22
4
1
24
4
4
5
42
4
14
2
42
24
25
4
4
44
5
tyhyf
tghy
f
h
fgh
dg
hg
fj
gh
k
jj
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
j
YN
14 tháng 2 2023
Gọi số có 4 chữ số cần tìm là \(\overline{abcd}\)
Theo đề ra, ta có: Khi xóa đi chữ số hàng chục và hàng đơn vị ta được số \(\overline{ab}\)
\(\overline{abcd}-\overline{ab}=3663\)
\(\overline{ab}\times100+\overline{cd}-\overline{ab}=3663\)
\(\overline{ab}\times99+\overline{cd}=3663\)
\(\overline{cd}=99\times\left(37-\overline{ab}\right)\)
Mà tích của 99 là một số tự nhiên bé hơn 100 nên có hai trường hợp là \(37-\overline{ab}=0\) hoặc \(37-\overline{ab}=1\)
Trường hợp 1: \(37-\overline{ab}=0\Rightarrow\overline{ab}=37\)
\(\Rightarrow\overline{cd}=0\)
Trường hợp 2: \(37-\overline{ab}=1\Rightarrow\overline{ab}=36\)
\(\Rightarrow\overline{cd}=99\)
Vậy số tự nhiên có 4 chữ số cần tìm là \(3700;3699\).
14 tháng 2 2023
Gọi số cần tìm là \(\overline{abcd}\)
Xóa đi chữ số hàng chục và hàng đơn vị ta được số ab
Theo bài ra ta có:
\(\overline{abcd}-\overline{ab}=3663\)
\(100.ab+cd-ab=3663\)
\(cd+100.ab-ab=3663\)
\(cd+99.ab=3663\)
\(\Rightarrow cd=99.\left(37-ab\right)\)
\(\Rightarrow37-ab=0\) hoặc \(37-ab=1\)
Nếu 37 - ab = 0 thì ab = 37 và cd = 00
Nếu 37 - ab = 1 thì ab=36 và cd = 99
Vậy số cần tìm là: 3700 và 3699
29 tháng 10 2023
Gọi số cần tìm có dạng là \(X=\overline{abcd}\)
Khi xóa đi chữ số hàng chục và hàng đơn vị của một số tự nhiên thì số đó giảm đi 3663 đơn vị nên ta có:
\(\overline{abcd}-\overline{ab}=3663\)
=>\(1000a+100b+10c+d-10a-b=3663\)
=>\(990a+99b+10c+d=3663\)
=>(a,b,c,d)=(3;6;9;9); (a,b,c,d)=(3;7;0;0)
Vậy: Hai số cần tìm là 3699 và 3700
30 tháng 6 2016
Gọi hai chữ số hàng chục và đơn vị của số đó là ab.
Số nhỏ . 100 + ab = số lớn
Số nhỏ là 1 phần. Số lớn là 100 phần + ab.
Vậy 3663 - ab chia hết cho ( 100 - 1 ) = 99.
Vậy ab = 00 ; 99
Số phải tìm là:
( 3663 - 0 ) : 99 . 100 + 0 = 3700
Số phải tìm là:
( 3663 - 99 ) : 99 . 100 + 99 = 3699
17 tháng 6 2016
Gọi số cần tìm là abcd .Xóa đi chữ số hàng chục và đơn vị ta được số ab
Ta có :
abcd - ab = 3663
ab x 100 + cd - ab = 3663
cd + ab x 100 - ab = 3663
cd + ab x 99 = 3663
cd = 3663 - ab x 99
cd = 37 x 99 - ab x 99
Nhận xét : Tích của 99 với 1 só tự nhiên là 1 số bé hơn 100 nên 37 - ab phải = 0 hặc 1
Nếu 37 - ab = 0 thì ab = 37 và cd = 00
Nếu 37 - ab = 1 thì ab = 36 và cd = 99
Vậy số cần tìm là : 3700 và 3699
17 tháng 6 2016
Gọi SCT là abcd (a khác 0;a,b,c,d<10 và là số tự nhiên)
Ta có : abcd=abc+3663
abcx10+d=abc+3663
abcx9 =3663-d
Ta thấy abcx9 chia hết cho 9 =>3663-d chia hết cho 9
Mà 3663 chia hết cho 9 => d chia hết cho 9
=> d=0 và 9 vì d<10
Nếu d=0 thì abcx9=3663+0
abcx9=3663
abc =3663:9
abc =407=> abcd =4070
Tương tự làm nốt trường hợp d=9 ta có abcd =4069
Vậy SCT là 4070 và 4069
abcd = 3699
Vì abcd - ab = 3663
=>ab*100+cd-ab=3663
=> ab * (100-1)+cd=3663
=> ab* 99 + cd =3663
Vì 3663 : 99 =37
=>ab=37 ; cd =00
Vậy số cần tìm là 3700