Divide 8

Divide 6840 by x y and z, in such a way that x has twice as much as y, who has half as much as z

Result

x =  2736
y =  1368
z =  2736

Solution:

6840=x+y+z x=2y 2y=z  6840=x+(x/2)+(2y) 6840=x+(x/2)+x  6840=x+(x/2)+x  5x=13680  x=2736 =27366840=x+y+z \ \\ x=2y \ \\ 2y=z \ \\ \ \\ 6840=x + (x/2)+ (2y) \ \\ 6840=x + (x/2) + x \ \\ \ \\ 6840=x + (x/2) + x \ \\ \ \\ 5x=13680 \ \\ \ \\ x=2736 \ \\ =2736
y=x/2=2736/2=1368y=x/2=2736/2=1368
z=2⋅ y=2⋅ 1368=2736z=2 \cdot \ y=2 \cdot \ 1368=2736

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