The sum of two consecutive integers is less than 55. The pair of integers with the greatest sum are 26 and 27.

26 and 27

Step-by-step explanation:

The first integer = x

Therefore the second integer = x + 1

according to the statement we obtain the equation

(x) + (x + 1) <55

x + x + 1 <55

2 * x + 1 <55

We subtract 1 from both sides, we get:

2x <54

divide both sides by 2 we get:

x <27

Therefore the first integer is 26, since it has to be better than 27.

the second integer = x + 1

= 26 + 1

= 27

If we add 26 + 27 = 53, which is less than 55 and the condition is met