The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.
n + n + 1 = 59; n = 29; n + 1 = 30
n + 2n = 59; n = 19; 2n = 38
n + n + 1 = 59; n = 29; n + 1 = 28
n + n + 1 = 59; n = 30; n + 1 = 31
n and n + 1 represent the two consecutive integers. The equation that models this situation is: n + (n + 1) = 59.
Simplifying the equation, we get: 2n + 1 = 59.
Subtracting 1 from both sides, we get: 2n = 58.
Dividing both sides by 2, we get: n = 29.
Therefore, the two consecutive integers are 29 and 30.
To find the equation that models this situation, we can use the fact that the two integers are consecutive. Let's call the first integer "n". Since the next consecutive integer is one more than "n", we can represent it as "n + 1".
The equation that models this situation is:
n + (n + 1) = 59
To solve this equation and find the values of the two integers, we can simplify it and solve for "n":
2n + 1 = 59
2n = 59 - 1
2n = 58
n = 58 / 2
n = 29
So, the first integer is 29, and the next consecutive integer is 29 + 1 = 30.