Question

Ramesh bought $2\frac{1}{2}$ kg sugar whereas Rohit bought $3\frac{1}{2}$ kg or sugar. Find the total amount of sugar bought by both of them.

Answer 1

Quantity of sugar bought by Ramesh = $2\frac{1}{2}\mathrm{kg}=\frac{(2\times 2)+1}{2}=\frac{5}{2}\mathrm{kg}$
Quantity of sugar bought by Rohit = $3\frac{1}{2}\mathrm{kg}=\frac{(3\times 2)+1}{2}=\frac{7}{2}\mathrm{kg}$
Total amount of sugar bought by them =

$$\begin{gathered} \frac{5}{2}+\frac{7}{2}=\frac{5+7}{2} \\ =\frac{12÷2}{2÷2}=6\mathrm{kg}(\mathrm{Dividing}\mathrm{numerator}\&\mathrm{denominator}\mathrm{by}\mathrm{their}\mathrm{HCF}) \end{gathered}$$