Final answer:
To find the possible values for two consecutive integers that sum up to less than 47, we use simple arithmetic to determine that the largest possible values for these integers are 22 and 23.
Step-by-step explanation:
The question states that the length of two consecutive integers is less than 47. Consecutive integers are numbers that follow each other in order, without any gap. To find the possible values of these two numbers, we can use simple subtraction.
Let's denote the smaller integer as n. Since they are consecutive, the next integer will be n+1. The sum of these two integers should be less than 47, which gives us the inequality n + (n+1) < 47.
Combining like terms, we get 2n + 1 < 47. Subtracting 1 from both sides, we get 2n < 46. Dividing both sides by 2, we get n < 23. Therefore, the smaller integer can be any value less than 23.
However, since we're dealing with integers, the largest possible value for n would be 22, which makes the next consecutive integer 23. Hence, the possible values for the two consecutive integers are 22 and 23.