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17 tháng 11 2019
  • 2 số tự nhiên a và b đó là 45 và 3 nhé 
17 tháng 11 2019

Theo bài ra ta có : 

ƯCLN(a;b) . BCNN(a;b) = a.b

=> ƯCLN(a;b) . 45 = 135 

=> ƯCLN(a;b)  = 3

Đặt \(\hept{\begin{cases}a=3m\\b=3n\end{cases}\left(m;n\inℕ^∗\right)\left(m;n\right)=1}\)

Khi đó : ab = 135

<=> 3m.3n = 135

=> m.n.9 = 135

=> mn = 15

Lại có : \(\left(m;n\inℕ^∗\right);\left(m;n=1\right)\)

=> có 15 = 3.5 = 1.15

Lập bảng xét 4 trường hợp ta có : 

m11535
n15153
a345915
b453159

Vậy các cặp (a;b) thỏa mãn là : (3;45) ; (45;3) ; (9;15) ; (15;9)

(a,b).[a,b]=a.b

=>(a,b)=135:45

=>(a,b)=3

ta có ƯCLN(a,b)=3

a=3.a'  b=3.b'

ta có

a.b=135

=>3.a'.3.b'=135

=>9.a'.b'=135

=>a'.b'=15

a'13515
b'1553

1

 =>

a391545
b451593

k cho mk nha

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