The sum of five consecutive integers is 130

The integers are 24, 25, 26, 27, and 28.

We need to set the 1st number as x. Since the integers are consecutive we just add 1 more for each integer, so the 2nd number is x + 1, then x + 2, x + 3, and x + 4. When we add them all together we get 130 so ...

x + (x+1) + (x+2) + (x+3) + (x+4) = 130

Since it is only addition we don't have to keep the parentheses because of the associative property.

x+x+1+x+2+x+3+x+4=130

5x + 10 = 130

5x = 120

x = 24

So the first number is 24.

2nd number is x+1 or 25. 3rd number is x+2 or 26 and so on ...

Your consecutive numbers are 24, 25, 26, 27, and 28.

We can check by adding them up and see if they equal 130.

24+25+26+27+28 = 130

It checks!