Edit: I didn't realize this topic was a duplicate.
Let be the smallest of the five consecutive numbers whose sum is 100.
The number after is .
The number after is .
The number after is .
The number after is .
These are our five consecutive numbers.
We are told their sum is 100. Therefore, .
Combine like terms.
Subtract 100 from both sides of the equation.
Divide by 5 on both sides of the equation.