Question

Jumatatea unui numar este egala cu treimea altui numar.Daca al doilea numar este cu 58 mai mare decat primul numar.Care sunt cele doua numere?

Answer 1

$\frac{x}{2}=\frac{y}{3}=k \ ; \ k \in N \\\\ x=2k \\ y=3k \\\\ y=x+58 \\\\ 3k=2k+58 \\\\ 3k-2k=58 \\\\ \underline{k=58} \\\\\\ x=2*58 \\\\ \boxed{x=116} \\\\\\ y=3*58 \\\\ \boxed{y=174}$