[tex]a,b,c-nr. [/tex]
[tex]a + b + c = 9 \frac{5}{12} [/tex]
[tex]a + b + c = \frac{9 \times 12 + 5}{12} [/tex]
[tex]a + b + c = \frac{108 + 5}{12} [/tex]
[tex]a + b + c = \frac{113}{12} [/tex]
[tex]b = 2a[/tex]
[tex]a = \frac{b}{2} [/tex]
[tex]b = c - \frac{3}{2} [/tex]
[tex]c = b + \frac{3}{2} [/tex]
[tex] \frac{b}{2} + b + b + \frac{3}{2} = \frac{113}{12} \: | \times 12[/tex]
[tex]6b + 12b + 12b + 18 = 113[/tex]
[tex]6b + 12b + 12b = 113 - 18[/tex]
[tex]30b = 95[/tex]
[tex]b = \frac{95}{30} [/tex]
[tex]b = \frac{19}{6} [/tex]
[tex]a = \frac{b}{2} [/tex]
[tex]a = \frac{ \frac{19}{6} }{2} [/tex]
[tex]a = \frac{19}{6} \times \frac{1}{2} [/tex]
[tex]a = \frac{19}{12} [/tex]
[tex]c = b + \frac{3}{2} [/tex]
[tex]c = \frac{19}{6} + \frac{3}{2} [/tex]
[tex]c = \frac{19}{6} + \frac{9}{6} [/tex]
[tex]c = \frac{28}{6} [/tex]
[tex]c = \frac{14}{3} [/tex]
