[tex]x + y + z = 38 \\ x \div y = 2 \: r \: 1 = > x = 2y + 1 \\ y \div z = 3 \: r \: 1 = > y = 3z + 1 \\ x + 3z + 1 + z = 38 \\ x = 2 \times (3z + 1) + 1 \\ x = 6z + 3 \\ 6z + 3 + 3z + 1 + z = 38 \\ 10z = 34 \\ z = \frac{34}{10} = 3.4 \\ y = 11.2 \\ x = 23.4[/tex]
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