Question

aflati numerele a si b daca (a,b)=11 si axb=1210

Answer 1

Daca (a,b)=11 ==> ca exista numere naturale x,y cu (x,y)=1 a.i a=11x si b=11y

a*b=121*x*y=1210 ==> x*y=10

1) x=1 , y=10
a=11*1=11
b=11*10=110

2) x=2 , y=5
a=11*2=22
b=11*5=55

3)x=5 , y=2
a=11*5=55
b=11*2=22

4)x=10 , y=1
a=11*1=11
b=11*10=110

==> = rezulta
* = ori