37 and 38
consecutive integers have a difference of 1 between them
let n and n + 1 be the consecutive integers, then
n + n + 1 = 75 ( subtract 1 from both sides )
2n = 74 ( divide both sides by 2 )
n = [tex]\frac{74}{2}[/tex] = 37
the integers are 37 and 37 + 1 = 38
