Question

Daca a • b = 294 si (a,b) = 7 , atunci determinati numerele naturale a si b.

Answer 1

a=7*m
b=7*n, cu m si n prime intre ele

axb=7m*7n=49*m*n=294
m*n=294:49=6

m=1, n=6 =>a=7, b=42
m=2, n=3 => a=14, b=21
m=3, n=2 => a=21, b=14
m=6, n=1 => a=42, b=7