10) O lista cu numerele prime de la 1 la 100:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Il alegem pe 2 si pe 83 si obtinem:
2+83 = 85
2×83 = 166 (raspunsul este 166)
11)
[tex]\dfrac{x}{2} = \dfrac{y}{3} \Rightarrow x = \dfrac{y}{3}\cdot2 \Rightarrow x = \dfrac{2y}{3} \\ \\ 2x+5y = 76 \Rightarrow 2\cdot \dfrac{2y}{3}+5y = 76 \Big|\cdot 3 \Rightarrow 2\cdot 2y+15y = 228 \Rightarrow \\ \\ \Rightarrow 4y+15y = 228\Rightarrow 19y = 228 \Rightarrow y = \dfrac{228}{19} \Rightarrow \boxed{y =12} \\ \\ x = \dfrac{2\cdot 12}{3} \Rightarrow x = 2\cdot 4 \Rightarrow \boxed{x=8}[/tex]
