Answer:
[tex]129[/tex] and [tex]130[/tex]
Step-by-step explanation:
Consecutive integers means [tex]1,2,3,4,5...[/tex] so on
That means we can model them as [tex]x,(x+1),(x+2)...[/tex]
We are given the information that the sum of two consecutive integers is 259
so we can write
[tex]x + (x+1)=259[/tex]
solving the above equation
[tex]x+x=259-1[/tex]
[tex]2x=258[/tex]
[tex]x=\frac{258}{2}[/tex]
[tex]x=129[/tex]
so the first page number of the book is 129 and the second is
[tex]x+1[/tex]
[tex]129+1[/tex]
[tex]130[/tex]
Hence the page numbers are [tex]129[/tex] and [tex]130[/tex]