Question

va rog repede ajutati-ma ​

Answer 1

Răspuns:

(a,b)=5

a+b=25

<=>

a=5k

b=5p

(k;p)=1

<=>

5k+5p=25 |:5

k+p=5

k=2 si p=3

sau

k=1 p=4

a=5*1=5

b=5*4=20

sau

a=5*2=10

b=5*3=15

ex 2.

(a;b)=12

a*b=2160

<=>

a=12k

b=12p

(k;p)=1

<=>

12k*12p=2160

144kp=2160

kp=15

k=1 si p=15

k=3 si p=5

a=12k=12*1=12

b=12p=12*15=180

sau

a=12k=12*3=36

b=12p=12*5=60