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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 | |||||||||||||||||||||||
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52542000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 | 542454550212.100000000000000000000000000000000000000000000000000000000000000000000000000000 |
gọi hai số cần tìm là a,b
vi UCLN(a;b) =5
=> a chia het cho 5, b chia het cho 5(UCLN(m;n)=1)
neu m=1 va n=12 thi a=5 va b=60
neu m=12 va n=1 thi a=60 va b=5
neu m=3 va n=4 thi a=15 va b=20
neu m=4 va n=3 thi a=20 va b=15
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Gọi hai số tự nhiên cần tìm là a và b (a ; b thuộc N )
Vì ƯCLN ( a, b ) = 36 nên a = 36 m ; b = 36n
ƯCLN(m , n ) = 1
Theo đề bài ra , ta có : a + b = 36m + 36n = 432 => 36(m+n) = 432 => m + n = 12
=> Ta tìm được các cặp mn thoả mãn điều kiện :
(m,n) = {( 1,11);(11,1);(5,7);(7,5)}
=> (a,b) = {(36, 396);(396;36);(180, 252);(252,180)}
nếu a=14 thì b=35
nếu b=14 thì a=35
Nếu a =14 thì b = 35
Nếu b =14 thì a = 35