Question

Aflati nr naturale a si b stiind ca (a,b)=19 si media lor aritmetica este 38

Answer 1

$a+b/2=38$
$a+b=76 ( vedem . relatiile)$
$cel/mai/mic/divizor/comun=19 ; adica / 19|a ,19|b$
$De .aici.stim .chiar.din.clasele.primare .caci .relatia.se.va.transforma :$
$19|a+b$
$--\ \textgreater \ a=19k , b=19p[notam]$
$DECI -\ \textgreater \ k=1,2,3 ; a=19,38,57$
$p=3,2,1 - b=57,38,19$
$(a,b) - (19,57); (38,38); (57, 19)$
________________________________________$[ Tine.de.modul.de.transformare.si.de.preluarea.ecuatiilor]$