The sum of three consecutive numbers is 102. what is the middle number in this set?

There’s one smaller number and one bigger number when looking at the middle number. We need to make equations for these numbers.
X= middle number
X-1= smaller number
X+1= bigger number

We need to add all of these numbers together and make it equal 102.
X+X-1+X+1=102
Now add like terms
3x= 102
Divide.
102/3=34
34 is the middle number, but we need to check. The list would be 33, 34, and 35.
Let’s add them all together.
33+34+35=102

So, the middle number of the set is 34.

The middle number is 34, hope this helps : )