Consecutive Integers: A Journey to Finding Solutions

What are consecutive integers and how can they be used to find solutions?

Consecutive integers are integers that follow each other in order without skipping any. For example, 2, 3, 4 are consecutive integers. In the problem, the sum of two consecutive integers is given as 129. How can we use this information to find the integers?

Solving the Consecutive Integers Problem

To find the consecutive integers with a sum of 129, we can use the equation: 2n + 1 = 129

When finding consecutive integers with an unknown variable n, we typically represent the first integer as n and the second integer as n + 1. Since the problem states that the sum of these integers is 129, we can set up the equation:

Solving this equation will give us the value of n, which represents the first consecutive integer. By adding 1 to n, we can find the second consecutive integer. In this case, the correct equation is 2n + 1 = 129 as mentioned in the solution section.