Question

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

Answer 1

Option A is correct.

True.

Step-by-step explanation

Let the smaller one of the two consecutive numbers be x.

Since they are consecutive numbers, the other number will be (x + 1)

The sum of the two numbers is said to be less than 55.

x + x + 1 < 55

2x + 1 < 55

2x < 55 - 1

2x < 54

Divide both sides by 2

(2x/2) < (54/2)

x < 27

So, we are told that x has to be less than 27.

Hence, the highest value that x can take on is 26.

x + 1 = 27

So, the greatest pair of integers whose sum can only be less than 55 are 26 and 27.

Hope this Helps!!!