Question

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

Answer 1

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.