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

28

Step-by-step explanation:

Let first integer = x

so second integer = x + 1

according to question we get the equation

(x) + (x + 1) < 55

x + x + 1 < 55

2x + 1 < 55

subtract 1 from both sides ,we get

2x < 54

divide both sides by 2 we get

x < 27

1st integer = x and x < 27

also as we need sum of integer with greates sum so we take x = 26

and 2nd integer = x+1

= 27 + 1

= 28

now if you add both the integers you get sum = 54 which is less than 55 and so this verify you second condtion also

hope this will help you

Please feel free to revert back for any further queries.