The integers are 52 and 53
Solution:
Consecutive numbers are numbers that follow each other in order. They have a difference of 1 between every two numbers
Let the two consecutive integers be x and x + 1
Given that, sum of two consecutive integers is 105
Therefore,
x + x + 1 = 105
Combine the like terms
2x + 1 = 105
2x = 105 - 1
2x = 104
Divide both sides of equation by 2
x = 52
Thus, another integer = x + 1 = 52 + 1 = 53
Thus the integers are 52 and 53