Question

Find the two consecutive odd integers whose sum is 20.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{two}\mathrm{consecutive}\mathrm{odd}\mathrm{integers}\mathrm{be}2\mathrm{x}-1\mathrm{and}2\mathrm{x}+1 \\ \mathrm{Now},\mathrm{according}\mathrm{to}\mathrm{question}, \\ 2\mathrm{x}-1+2\mathrm{x}+1=20 \\ \Rightarrow 4\mathrm{x}=20 \\ \Rightarrow \mathrm{x}=\frac{20}{4}=5 \\ \mathrm{So},\mathrm{required}\mathrm{integers}\mathrm{are}: \\ 2\times 5-1\mathrm{and}2\times 5+1\mathrm{i}.\mathrm{e}.9\mathrm{and}11 \end{gathered}$$