The left and right pages of an open book are two consecutive integers whose sum is 359. Find these page numbers

179 and 180

consecutive numbers have a difference of 1 between them

let the 2 numbers be n and n + 1, then

n + n + 1 = 359

2n + 1 = 359 (subtract 1 from both sides)

2n = 358 (divide both sides by 2)

n = 179 and n + 1 = 179 + 1 = 180

the 2 pages are 179 and 180