Question

Suma a doua numere naturale este 1280, iar diferenta este de doua ori mai mare decat scazatorul. Afla numerele.

Answer 1

x+y=1280 x-y=2y x=2y+y x=3y4y x=>3y 3y+y=1280 4y=1280 y=1280:4 y=320 x+320=1280 x=1280-320 x=960

Answer 2

$a+b=1280 \\\\ a-b=2b \\\\ a=2b+b\\\\\boxed{\boxed{a=3b}} \\\\ 3b+b=1280 \\\\ 4b=1280 \\ b=1280:4\\\\ \boxed{\boxed{\boxed{b=320}}} \\\\ a=3*320 \\\\ \boxed{\boxed{\boxed{a=960}}}$

[tex]sau:\\ \boxed{Notam~ D=descazutul,~ S=scazatorul:}\\ \boxed{D+S=1280}\\ \boxed{D-S=2*S}\\ \boxed{Din ~desen~ observam~ ca ~1280~ este~ format ~din ~\boxed{4*S}} =>\\ \boxed{=>S=1280:4\\=>\boxed{\boxed{\boxed{S=320}}}}\\ \boxed{D=3*S\\D=3*320\\\boxed{\boxed{\boxed{D=960}}}}[/tex]
$Ai `desenul ~atasat~ in~ figura~ urmatoare:$