Aflati numerele naturale a si b astfel incat
A) (a,b) =7 si a×b =588 B) (a,b) = 18 si a+b =324
Pls urgent si daca raspundeti explicati cum ati rezolvat :) primul il pun ca cel mai inteligent
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a=7x si b=7y
(x;y)=1 7x • 7y = 588
49xy=588 xy=12 =>
x=1 si y=12 (si invers)
x=3 si y=4 (si invers)
(x,y)=1 2. (a,b)=18 =>
a=18x si b=18y (x,y)=1 18x + 18y = 324
18(x+y)=324 x+y=18 => x=1 si y=18
(si invers) x=5 si y=13 (si invers)
x=7 si y=11 (si invers)