[tex]a + b + c + d[/tex]
[tex]a + b + c + d = 637[/tex]
[tex]a - \frac{a}{13} = b - \frac{3b}{13} = c - \frac{3c}{13} = d - \frac{5d}{13} [/tex]
[tex]13a - a = 13b - 3b = 13c - 3c = 13d - 5d[/tex]
[tex]12a = 10b = 10c = 8d[/tex]
[tex]6a = 5b = 5c = 4d[/tex]
[tex]a + 2b + d = 637[/tex]
[tex]10 \times 6a + 24 \times 5b + 15 \times 4d = 637 \times 60[/tex]
[tex]245b = 38220[/tex]
[tex]b = 156 \: cm[/tex]
[tex]c = 156 \: cm[/tex]
[tex] \frac{5b}{4} = d [/tex]
[tex] \frac{5 \times 156}{4} = d[/tex]
[tex]5 \times 39 = d[/tex]
[tex]d = 195 \: cm[/tex]
[tex] \frac{5b}{6} = a [/tex]
[tex] \frac{5 \times 156}{6} = a[/tex]
[tex]a = 5 \times 26[/tex]
[tex]a = 130 \: cm[/tex]
