[tex]x+y=60 \\ x= \frac{2}{3}*y \\ --- \\ x+y=60 \\ 3x= 2y \\--- \\ x+y=60 \;\;\;\;\;|*2\\ 3x-2y =0 \\--- \\ 2x+2y=120 \\ 3x-2y =0 \\ \text{--------------------- Adunam ecuatiile} \\ 5x\;\;\;\; / \;\;\;=120 \\ x= \;\;\frac{120}{5}= \boxed{24} \\ y = 60 - x = 60 -24 = \boxed{36}[/tex]
