Question

numerele {a,b} d.p. {3,5} daca 3a+2b=38,atunci determinati nr a si b

Answer 1

a/3=b/5
⇒b=5a/3
atunci
3a+2b=3a+10a/3=38

19a/3=38
a/3=2
a=6
si b=5a/3=5*6/3=30/3=10

a=6
b=10 care verifica relatiile, deci bine rezolvat

Answer 2

Salut!

{a.b} d.p. {3,5}
3a+2b=38
a,b=?
___________
{a,b}d.p.{3.5}=>
a supra 3 = b subra 5 = k
=> a=3 k
=> b=5 k
____________________
3a+2b=38
3×3k+2×5k=38
9k+10k=38
19k=38=>
k=38:19
k=2
_____________________
a=3k=> a=3×2=> a=6
b=5k=> b=5×2=> b=10
_____________________
3×6+2×10=18+20=38 (A)

Sper că te-am ajutat !
Succes!