Consecutive numbers are whole numbers that follow in order such as 3,4,5,.Find the smallest of the five consecutive numbers whose sum is 100.
Edit: I didn't realize this topic was a duplicate.
Let $\displaystyle x$ be the smallest of the five consecutive numbers whose sum is 100.
The number after $\displaystyle x$ is $\displaystyle x + 1$.
The number after $\displaystyle x + 1$ is $\displaystyle x + 1 + 1 = x + 2$.
The number after $\displaystyle x + 2$ is $\displaystyle x + 2 + 1 = x + 3$.
The number after $\displaystyle x + 3$ is $\displaystyle x + 3 + 1 = x + 4$.
These are our five consecutive numbers.
We are told their sum is 100. Therefore, $\displaystyle x + x + 1 + x + 2 + x + 3 + x + 4 = 100$.
Combine like terms.
$\displaystyle 5x + 10 = 100$
Subtract 100 from both sides of the equation.
$\displaystyle 5x = 90$
Divide by 5 on both sides of the equation.
$\displaystyle x = 18$