Question

suresh has three boxes of different fruits. box 1 weighs 2 1/2 kg more than box 2 and box 3 weighs 10 1/4 kg more than box 2. if the total weight of the three boxes is 48 3/4 , find the weight of each box.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{weight}\mathrm{of}\mathrm{box}2=x\mathrm{kg} \\ \mathrm{Weight}\mathrm{of}\mathrm{box}1=\left(x+\frac{5}{2}\right)\mathrm{kg} \\ \mathrm{Weight}\mathrm{of}\mathrm{box}3=\left(x+\frac{41}{4}\right)\mathrm{kg} \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ x+x+\frac{5}{2}+x+\frac{41}{4}=\frac{195}{4} \\ \Rightarrow 3x+\frac{5}{2}+\frac{41}{4}=\frac{195}{4} \\ \Rightarrow \frac{12x+10+41}{4}=\frac{195}{4} \\ \Rightarrow 12x+51=195 \\ \Rightarrow 12x=195-51 \\ \Rightarrow 12x=144 \\ \Rightarrow x=12 \\ \mathrm{So},\mathrm{weight}\mathrm{of}\mathrm{box}2=12\mathrm{kg} \\ \mathrm{weight}\mathrm{of}\mathrm{box}1=12+\frac{5}{2}=14.5\mathrm{kg} \\ \mathrm{weight}\mathrm{of}\mathrm{box}3=22.25\mathrm{kg} \end{gathered}$$