Question

The Sum Of Numerator And Denominator Is 11 If 1 is Added To Both The Numerator & The Denominator The fraction Increased 3/56.(Represent The Following Situations Mathematically In One Variable )

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{numerator}\mathrm{be}\mathrm{x}.\mathrm{And}\mathrm{sum}\mathrm{of}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{is}11. \\ \mathrm{So},\mathrm{denominator}=11-\mathrm{x} \\ \mathrm{So},\mathrm{fraction}\mathrm{will}\mathrm{be}\frac{\mathrm{x}}{11-\mathrm{x}} \\ \mathrm{According}\mathrm{to}\mathrm{question}, \\ \frac{\mathrm{x}+1}{11-\mathrm{x}+1}=\frac{\mathrm{x}}{11-\mathrm{x}}+\frac{3}{56} \\ \Rightarrow \frac{\mathrm{x}+1}{12-\mathrm{x}}=\frac{\mathrm{x}}{11-\mathrm{x}}+\frac{3}{56} \end{gathered}$$