The sum of two consecutive integers is 105 find the integers

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

52,53