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DD
19 tháng 7 2021

Đây là Toán lớp 6 nha. 

Ta cần tìm hai số \(a,b\)biết \(\hept{\begin{cases}a+b=432\\\left(a.b\right)+\left[a,b\right]=7776\end{cases}}\).

Đặt \(\left(a,b\right)=d\).

Khi đó \(a=md,b=nd,\left(m,n\right)=1\).

\(\hept{\begin{cases}a+b=432\\\left(a.b\right)+\left[a,b\right]=7776\end{cases}}\Leftrightarrow\hept{\begin{cases}md+nd=432\\d+\frac{md.nd}{d}=7776\end{cases}}\)

\(\Rightarrow1+mn=18\left(m+n\right)\)

\(\Leftrightarrow\left(m-18\right)\left(n-18\right)=323=1.323=17.19\).

Ta có bảng giá trị: 

m-1813231719
n-1832311917
m193413537
n341193735

Suy ra các bộ \(\left(a,b\right)\)thỏa mãn là: \(\left(210,222\right),\left(222,210\right)\)

28 tháng 11 2017

axb=7776 mà ƯCLN(a;b)=36

=>a=36xm;b=36xn mà ƯCLN(m,n)=1

=>36^2x(mxn)=7776

=>1296x(mxn)=7776

=>mxn=7776:1296=6

mà ƯCLN (m,n)=1 

Ta có bảng


 

m6132
n1623

Nếu  m=6,n=1 thì a=36x6=216,b=36x1=36

Nếu m=1,n=6 thì a=36x1=36,b=36x6=216

Nếu m=3,n=2 thì a=36x3=108,b=36x2=72

Nếu n=2,m=3 thì a=36x2=72,b=36x3=108

Vậy hai số cần tìm là 216 hoặc 36,108 hoặc 72

12 tháng 6 2016

 c)  

Gọi 2 số cần tìm là a, b.
BCNN(a, b) = 6.UCLN(a, b) = 6.12 = 72
Ta có BCNN(a, b) . UCLN(a, b) = a.b
Suy ra 72.12 = 24.b ==> b = 36
Vậy 2 số đó là 24 và 36

 

 
31 tháng 1 2022

UKM

^6^7g^7*(KHV C GTGFCCGttedx

8 tháng 12 2015

a) goi hai so la a ; b va a >b

vi UCLN(a,b)=18=>a=18k            ;       b=18q       (trong do UCLN (k,q)=1 va k>q)

=>a+b=162

18k+18q =162

18(k+q)=162

k+q=9

ta co bang sau   

 

k1234
q8765
a18365472
b14412610890

vay ...........

   
    
    

 

29 tháng 10 2016

21453 

52542000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

542454550212.100000000000000000000000000000000000000000000000000000000000000000000000000000