Question

There are three boxes of goods A,B and C.box -A weighs 1 and a half more than box-B and box-C weighs 2 and a half kg more than box-B .if their total weight is 26 and a half kg find the weight of the boxes.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{weight}\mathrm{of}\mathrm{Box}\mathrm{B}=x\mathrm{kg} \\ \mathrm{then}\mathrm{the}\mathrm{weight}\mathrm{of}\mathrm{Box}\mathrm{A}=\left(x+\frac{3}{2}\right)\mathrm{kg} \\ \mathrm{Weight}\mathrm{of}\mathrm{Box}\mathrm{C}=\left(x+\frac{5}{2}\right)\mathrm{kg} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ x+\left(x+\frac{3}{2}\right)+\left(x+\frac{5}{2}\right)=26.5 \\ \Rightarrow 3x+4=26.5 \\ \Rightarrow 3x=22.5 \\ \Rightarrow x=7.5 \\ \mathrm{So},\mathrm{weight}\mathrm{of}\mathrm{box}\mathrm{B}=7.5\mathrm{kg} \\ \mathrm{weight}\mathrm{of}\mathrm{box}\mathrm{A}=9\mathrm{kg} \\ \mathrm{weight}\mathrm{of}\mathrm{box}\mathrm{C}=10\mathrm{kg} \end{gathered}$$