A simple way to solve this problem is to let the larger number be [tex]y.[/tex] Therefore, you know that [tex]y=3x+4[/tex], and that [tex]2y+4x=58.[/tex] Substitute [tex]3x+4[/tex] for [tex]y[/tex] in the last equation to arrive at [tex]2(3x+4)+4x=58.[/tex] This equation allows you to solve for [tex]x.[/tex]
