Explicație pas cu pas:
[tex]x + y + z + t + u = 2011[/tex]
[tex]x = 2y[/tex]
[tex]z = t - 50 = > t = z + 50[/tex]
[tex]z = y - 17 = > y = z + 17[/tex]
[tex] = > x = 2(z + 17) = > x = 2z + 34[/tex]
[tex]t = u \div 3 = > u = 3t[/tex]
[tex] = > u = 3(z + 50) = > u = 3z + 150[/tex]
[tex](2z + 34) + (z + 17) + z + (z + 50) + (3z + 150) = 2011[/tex]
[tex]8z + 251 = 2011 \\ 8z = 2011 - 251 \\ 8z = 1760 \\ = > z = 220[/tex]
[tex]y = 220 + 17 = > y = 237[/tex]
[tex]x = 2 \times 237 = > x = 474[/tex]
[tex]t = 220 + 50 = > t = 270[/tex]
[tex]u = 3 \times 270 = > u = 810[/tex]
