Question

The left and right page numbers of an open book are two consecutive integers whose sum is 259. Find these page numbers

Answer 1

$\textsf{Let the left page number}\\\textsf{be}\hspace{0.1cm} x. \textsf{ This implies that}\\\textsf{the right page number}\\\textsf{would be}\hspace{0.1cm}x + 1, \\\textsf{since the page numbers}\\\textsf{are consecutive.}\\ \begin{aligned} x + x + 1 &= 259\\ 2x + 1 &= 259\\ 2x &= 258, x = 129 \end{aligned}\\ \therefore \textsf{The page numbers are}\\129 \hspace{0.1cm}\textsf{and}\hspace{0.1cm}130$