Question

Determinati numerele a si b stiind ca (a,b)=12 si a•b=2160

Answer 1

a=12k
b=12m
ab=144mk=2160
mk=2160:144
mk=15
cum (m,k)=1 pt ca (a,b)=12, dustingem cazuruile
m=1 k=15....a=12 si b=180
m=3 si k=5    a=36 si b=60
m=5 si k=3    a=60 si b=36
m=15 si k=3  a=180 si b=12