The sum of two consecutive integers is at least 46 what is the least possible pair of integers

Let the smaller integer be x.
The next larger consecutive integer is 1 more than x, so it is x + 1.
"At least 46" means it is 46 or greater, so use >= (greater than or equal to).

x + x + 1 >= 46

2x + 1 >= 46

2x >= 45

x >= 22.5

The smallest x can be is 23 since it has to be an integer, and it must be greater than 22.5. The next larger consecutive integer is 24.

The answer is 23 and 24.