The key to this question is in understanding the definition of the terms.

An **integer** is a whole number, i.e. 1, 14, 27 and so on.

**Consecutive** means the numbers are in counting order, or one right after the other, such as 1, 2, 3 and so on.

Now with this problem we do not know the value of the integers to start so we must start with a variable. Let's call our starting variable **x.**

If our starting value is **x, **then the consecutive integer after that would be **x+1 **and the integer after that would be **x+2**

*** Remember our example of integers 1,2,3. In this example 1 is the starting integer. The first **consecutive integer** is (1 + 1) or 2. The next consecutive integer is (1 + 2) which equals 3***

So, our question wants us to find 3 consecutive integers such that the sum of the second and third is 89.

With our starting variable as **x **we know that the second consecutive integer is **x+1** and the third is **x+2.**

When we write that in an equation we get **(x+1) + (x+2) = 89**

Then we solve for x:

x + 1 + x + 2 = 89

2x + 3 = 89

2x = 86

x = 43

Now we plug **x** back into our integer equations

Our first integer was **x **which equals **43**

Our second integer was **x + 1** which equals **44**

Our third integer was** x + 2 **which equals **45**

So, our answer is three consecutive integers such that the sum of the second and third is 89 are

**43, 44, 45**