![](https://rs.olm.vn/images/avt/0.png?1311)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
TK
Ta có : ƯCLN(a,b) . BCNN(a,b) = a.b
⇒a.b=336.12=4032⇒a.b=336.12=4032
Vì ƯCLN (a,b) = 12
⇒{a=12kb=12q(ƯCLN(k,q)=1;k>q)⇒{a=12kb=12q(ƯCLN(k,q)=1;k>q)
Mà : a.b = 4032
⇒12k.12q=4032⇒(12.12)(k.q)=4032⇒12k.12q=4032⇒(12.12)(k.q)=4032
⇒144.k.q=4032⇒k.q=28⇒144.k.q=4032⇒k.q=28
+)
Ta có : ƯCLN(a,b) . BCNN(a,b) = a.b
⇒a.b=336.12=4032⇒a.b=336.12=4032
Vì ƯCLN (a,b) = 12
⇒{a=12kb=12q(ƯCLN(k,q)=1;k>q)⇒{a=12kb=12q(ƯCLN(k,q)=1;k>q)
Mà : a.b = 4032
⇒12k.12q=4032⇒(12.12)(k.q)=4032⇒12k.12q=4032⇒(12.12)(k.q)=4032
⇒144.k.q=4032⇒k.q=28⇒144.k.q=4032⇒k.q=28
+) ⇒{k=28q=1⇒{a=28.12b=1.12⇒{a=336b=12⇒{k=28q=1⇒{a=28.12b=1.12⇒{a=336b=12
+) ⇒{k=14q=2⇒{a=14.12b=12.2⇒{a=168b=24⇒{k=14q=2⇒{a=14.12b=12.2⇒{a=168b=24
+) ⇒{k=7q=4⇒{a=7.12b=4.12⇒{a=84b=48⇒{k=7q=4⇒{a=7.12b=4.12⇒{a=84b=48
Vậy a = 336 ; b = 12
a = 168 ; b = 24
a = 84 ; b = 48Ta có : ƯCLN(a,b) . BCNN(a,b) = a.b
⇒a.b=336.12=4032⇒a.b=336.12=4032
Vì ƯCLN (a,b) = 12
⇒{a=12kb=12q(ƯCLN(k,q)=1;k>q)⇒{a=12kb=12q(ƯCLN(k,q)=1;k>q)
Mà : a.b = 4032
⇒12k.12q=4032⇒(12.12)(k.q)=4032⇒12k.12q=4032⇒(12.12)(k.q)=4032
⇒144.k.q=4032⇒k.q=28⇒144.k.q=4032⇒k.q=28
+) ⇒{k=28q=1⇒{a=28.12b=1.12⇒{a=336b=12⇒{k=28q=1⇒{a=28.12b=1.12⇒{a=336b=12
+) ⇒{k=14q=2⇒{a=14.12b=12.2⇒{a=168b=24⇒{k=14q=2⇒{a=14.12b=12.2⇒{a=168b=24
+) ⇒{k=7q=4⇒{a=7.12b=4.12⇒{a=84b=48⇒{k=7q=4⇒{a=7.12b=4.12⇒{a=84b=48
Vậy a = 336 ; b = 12
a = 168 ; b = 24
a = 84 ; b = 48
Chúc bạn học tốt nha!
![](https://rs.olm.vn/images/avt/0.png?1311)
Câu hỏi của Cặp đôi ngọt ngào - Toán lớp 6 - Học toán với OnlineMath
Tham khảo!
Trả lời :
Tham khảo :
Câu hỏi của Cặp đôi ngọt ngào - Toán lớp 6 - Học toán với OnlineMath
Link :
https://olm.vn/hoi-dap/detail/198244172905.html
~HT~
![](https://rs.olm.vn/images/avt/0.png?1311)
Giải :
Ta có : BCNN ( a , b ) = ƯCLN ( a , b ) = a . b
Vì ƯCLN ( a , b ) = 12 ; BCNN ( a , b ) = 336
=> 336 . 12 = a . b
=> a . b = 4032
Vì ƯCLN ( a , b ) = 12 => \(\hept{\begin{cases}a⋮12\\b⋮12\end{cases}}\)
=> \(\hept{\begin{cases}a=12.m\\n=12.n\end{cases}}\)( m , n \(\in\)N , ƯCLN ( m , n ) = 1 )
Thay a = 12 . m ; b = 12 . n vào a . b = 4032
Ta có : 12 . m . 12 . n = 4032
-> 144 . m . n = 4032
-> m . n = 4032 : 144
-> m . n = 28
Vì ƯCLN ( m , n ) = 1 . Ta có bảng :
m | 1 | 28 | 4 | 7 |
n | 28 | 1 | 7 | 4 |
a | 12 | 336 | 48 | 84 |
b | 336 | 12 | 84 | 48 |
Kết luận | Chọn | Chọn | Chọn | Chọn |
Vậy các cặp số tự nhiên ( a , b ) cần tìm là :
( 12 ; 336 ) ; ( 336 ; 12 ) ; ( 48 ; 84 ) ; ( 84 ; 48 )
![](https://rs.olm.vn/images/avt/0.png?1311)
Lời giải:
Ta có a.b = BCNN(a, b) . ƯCLN(a, b) = 336.12 = 4032.
Vì ƯCLN(a, b) = 12 nên a = 12a', b = 12b' (a', b' ∈ N), ƯCLN(a', b') = 1.
Ta có 12a'.12b' = 4032.
⇒ a'b' = 4032 : (12.12) = 28.
Do a' > b' và ƯCLN(a', b') = 1 nên
a' | 28 | 7 |
b' | 1 | 4 |
Suy ra
a | 336 | 84 |
b | 12 | 48 |
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : ƯCLN(a,b) . BCNN(a,b) = a.b
\(\Rightarrow a.b=336.12=4032\)
Vì ƯCLN (a,b) = 12
\(\Rightarrow\left\{{}\begin{matrix}a=12k\\b=12q\end{matrix}\right.\left(ƯCLN\left(k,q\right)=1;k>q\right)\)
Mà : a.b = 4032
\(\Rightarrow12k.12q=4032\Rightarrow\left(12.12\right)\left(k.q\right)=4032\)
\(\Rightarrow144.k.q=4032\Rightarrow k.q=28\)
+) \(\Rightarrow\left\{{}\begin{matrix}k=28\\q=1\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=28.12\\b=1.12\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=336\\b=12\end{matrix}\right.\)
+) \(\Rightarrow\left\{{}\begin{matrix}k=14\\q=2\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=14.12\\b=12.2\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=168\\b=24\end{matrix}\right.\)
+) \(\Rightarrow\left\{{}\begin{matrix}k=7\\q=4\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=7.12\\b=4.12\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=84\\b=48\end{matrix}\right.\)
Vậy a = 336 ; b = 12
a = 168 ; b = 24
a = 84 ; b = 48
Ta có : ƯCLN(a,b) . BCNN(a,b) = a.b
⇒a.b=336.12=4032⇒a.b=336.12=4032
Vì ƯCLN (a,b) = 12
⇒{a=12kb=12q(ƯCLN(k,q)=1;k>q)⇒{a=12kb=12q(ƯCLN(k,q)=1;k>q)
Mà : a.b = 4032
⇒12k.12q=4032⇒(12.12)(k.q)=4032⇒12k.12q=4032⇒(12.12)(k.q)=4032
⇒144.k.q=4032⇒k.q=28⇒144.k.q=4032⇒k.q=28
+) ⇒{k=28q=1⇒{a=28.12b=1.12⇒{a=336b=12⇒{k=28q=1⇒{a=28.12b=1.12⇒{a=336b=12
+) ⇒{k=14q=2⇒{a=14.12b=12.2⇒{a=168b=24⇒{k=14q=2⇒{a=14.12b=12.2⇒{a=168b=24
+) ⇒{k=7q=4⇒{a=7.12b=4.12⇒{a=84b=48⇒{k=7q=4⇒{a=7.12b=4.12⇒{a=84b=48
Vậy a = 336 ; b = 12
a = 168 ; b = 24
a = 84 ; b = 48
![](https://rs.olm.vn/images/avt/0.png?1311)
Trong công thức toán ta có ƯCLN * BCNN = a*b
Thế vào ƯCLN và BCNN
336*12=4032= a*b
4032=63*64
Vì a>b nên a=64
b=63
**** cho mk nha
haizzzzzzzzzzzzzzzzz
chán quá mấy bn ơi
ai kb với mk ko?
ai fan conan ko
![https://writer.dek-d.com/maketokay/story/view.php?id=682588 Kết quả hình ảnh](data:image/jpeg;base64,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)
các bn
chúc bn học gioi!!
Câu hỏi của Cặp đôi ngọt ngào - Toán lớp 6 - Học toán với OnlineMath
Tham khảo!