Sum of 2 consecutive integers is 59. Write an equation that models that situation and find values of both integers

Note that the difference between two consecutive integers is equal to 1. Thus,

Let x = first number
Let x+1 = the second number
Then we set up the equation. It says in the problem that their sum is 59, so
x + x + 1 = 59
Finally we solve for x:
2x + 1 = 59
2x = 59 - 1
2x = 58
(2x)/2 = 58/2
x = 29 (first number)
x+1 = 30 (second number)

Hope this helps~ :3

To write an equation that models the situation, let's assign a variable to one of the consecutive integers.

Let's say the first integer is 'x'. Since the sum of two consecutive integers is 59, the second integer would be 'x + 1'.

So, our equation would be:

x + (x + 1) = 59

Now, let's solve the equation to find the values of both integers:

Combine like terms: 2x + 1 = 59.

Subtract 1 from both sides: 2x = 58.

Divide both sides by 2: x = 29.

Therefore, the first integer is 29, and the second integer is 29 + 1 = 30.

Let's assume the first integer is x. Since the second integer is consecutive to the first, we can represent it as (x + 1).

The sum of these two consecutive integers is given as 59. Therefore, we can write the equation as:

x + (x + 1) = 59

Simplifying this equation, we have:

2x + 1 = 59

To find the value of x, let's isolate it by subtracting 1 from both sides:

2x = 59 - 1
2x = 58

Finally, divide both sides of the equation by 2:

x = 58 / 2
x = 29

So, the first integer is 29, and the second consecutive integer is 29 + 1 = 30.