The sum of two consecutive odd integers is at most 123. find the pair with the greatest sum

The sum of two consecutive odd integers is at most 123. find the pair with the greatest sum

two consecutive odd integers
2x+1,2x+3

The sum of two consecutive odd integers is at most 123
2x+1+2x+3≤123

Solve for x
2x+1+2x+3≤123
4x+4≤123
4x+4-4≤123-4
4x≤119
4/4x≤119/4
x≤119/4
x≤29.25

Substitute any numbers into x that are equal to 29 or less that are consecutive odd integers.
2x+1,2x+3
2 (29)+1,2 (29)+3
58+1,58+3
59,61

Check: 59+61=120

The pair of consecutive odd integers that have a sum of at most 123 are 59 and 61.