The two consecutive numbers that have a sum of 25 are 12 and 13.
According to the provided reference, "25 can be expressed as sum of 12, 13." This clearly indicates that 12 and 13 satisfy the condition of being consecutive numbers and adding up to 25.
Let's examine how we might approach finding such numbers in a more general sense.
Understanding Consecutive Numbers
- Consecutive numbers are integers that follow each other in order, each differing from the previous by 1. Examples include:
- 1, 2, 3
- 10, 11, 12
- 100, 101
Finding Consecutive Numbers that Sum to a Given Total
- Divide by 2: Start by dividing the desired sum by 2. In this case, 25 / 2 = 12.5.
- Identify the Integers Around the Result: The result from step 1 will usually fall between two consecutive integers. In this case, 12.5 is between 12 and 13.
- Check the Sum: Verify that these integers actually add up to the desired sum. 12 + 13 = 25.
Example
Let’s look at a similar example: Express 169 as the sum of two consecutive numbers. Following the steps mentioned above:
- Divide by 2: 169 / 2 = 84.5
- Identify the Integers Around the Result: The result, 84.5, falls between the integers 84 and 85
- Check the Sum: 84 + 85 = 169. Therefore, 84 and 85 are the two consecutive numbers which sum to 169.
In summary, the solution to the question "What two consecutive numbers have a sum of 25?" is 12 and 13, derived by applying the logic of identifying integers adjacent to the halfway point of the total number.
