the two consecutive numbers can be written as:

x and x+1, where x is integer

the sum of two consecutive integers is 89 means:

x + (x + 1) = 89

by solving we find:

x = 44

click here to see the step by step solution of the equation:

x + 1 = 44 + 1 = 45

the two consecutive integer numbers are 44 and 45.