Question

The sum of two consecutive odd numbers is 68. Find the numbers.

Answer 1

$\begin{array}{l}\text{Let the consecutive odd numbers be}x\text{and}(x+2).\\ x+(x+2)=68\\ \Rightarrow 2x+2=68\\ \Rightarrow 2x=68-2\\ \Rightarrow x=\frac{\sout{6}{\sout{6}}^{33}}{{\sout{2}}_1}\\ \Rightarrow x=33\\ \therefore \text{The required numbers are 33 and}(\text{33}+2),\mathrm{i}.\mathrm{e}.,\text{35.}\end{array}$