tìm stn có 4 chữ số , biết rằng nếu ta xoá đi chữ số hàng chục và chữ số đon vị thì ta được số nhỏ hơn số đó 3663 đơn vị
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
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 \(3700;3699\).
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
Bài 1
a0b = ab x 7
a x 100 + b = ( a x 10 + b ) x7
a x 100 + b = a x 10 x 7 + b x 7
Cùng bớt đi b
a x 100 = a x 70 + b x 6
Cùng bớt đi a x 70
a x 30 = b x 6
Cùng chia cho 6
a x 5 = b x 1
=>a = 1 ; b = 5
Vậy số đó là 15
2 bài kia bạn tự giải nha , mk lười lắm :)))))
cau hoi nay la cau hoi co 3 chu so chu khong hai la 2chu so
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 x100 + cd -ab = 3663
cd + ab x100 - ab = 3663
cd + ab x 99 = 3663
cd = 3663 - ab x99
cd = 37 x 99 - ab x 99
cd = (37- ab) x 99
Nhận xét : Tích của 99 với 1 số tự nhiên là một số bé hơn 100 nên 37 - ab phải = 0 hoặc1
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 hoặc 3699
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
đáp án : 3700 , 3699
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24
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12
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22
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