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.(Surprised)

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- Dec 15th 2009, 06:16 PMronaldjsmallest number
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.(Surprised)

- Dec 15th 2009, 06:21 PMskeeter
- Dec 15th 2009, 06:21 PMVonNemo19
- Dec 15th 2009, 06:33 PMNOX Andrew
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.

$\displaystyle x = 18$ - Dec 15th 2009, 06:48 PMronaldjsmallest number
Sincere apologies to all about duplicate!..Did not see original posting on Math Help Forum..RJ