Two consecutive integers have a sum of 107. Find the integers.

Let

x = first consecutive number

x + 1 = second consecutive number

Based on the problem, we equate

x + (x + 1) = 107

Solving for x,

2x + 1 = 107

2x = 107 - 1

2x = 106

x = 106/2 = 53

and x + 1 = 54

Therefore, the numbers are 53 and 54.