Tìm hai số tự nhiên a và b biết :
a, Tổng của chúng bằng 32 và ƯCLN bằng 12
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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 | |||||||||||||||||||||||
vay ........... | |||||||||||||||||||||||
21453
52542000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 542454550212.100000000000000000000000000000000000000000000000000000000000000000000000000000 |
mik nhầm nhé bằng 432
gọi 2 số đó là a và b ta có:
a=m.12 ; b=n.12 (với(m,n)=1)
vì a+b=432
=> 12.m+12.n=432
=> 12.(m+n)=432
=> m+n=36
Giả sử a>b => m>n và (m,n)=1,m+n=36 ta có:
th1: \(\hept{\begin{cases}m=35\\n=1\end{cases}=>\hept{\begin{cases}a=420\\b=12\end{cases}}}\) TH2: \(\hept{\begin{cases}m=31\\n=5\end{cases}=>\hept{\begin{cases}a=372\\b=60\end{cases}}}\)
Th3:\(\hept{\begin{cases}m=29\\n=7\end{cases}=>\hept{\begin{cases}a=348\\b=84\end{cases}}}\) TH4:\(\hept{\begin{cases}m=25\\n=11\end{cases}=>\hept{\begin{cases}a=300\\b=132\end{cases}}}\)
Th5:\(\hept{\begin{cases}m=23\\n=13\end{cases}=>\hept{\begin{cases}a=276\\b=156\end{cases}}}\) TH6:\(\hept{\begin{cases}m=19\\n=17\end{cases}=>\hept{\begin{cases}a=228\\b=204\end{cases}}}\)
vậy x=.......thì......