Question

Find three consecutive even numbers whose sum is 1884.

smaller number =
middle number =
larger number =

Answer 1

smallest number=626

middle number=628

larger number=630

Explanation:

To find the numbers, let's use n as the variable. Since we know that the numbers are consecutive even numbers, we know that they increase by 2. For example, we could have 2+4+6=12.

Knowing that the consecutive numbers increase by two's, we can use this.

smallest number: n

middle number: n+2

larger number: n+4

All we have to do is add these together and set it equal to 1884.

n+(n+2)+(n+4)=1884 [combine like terms]

3n+6=1884 [subtract both sides by 6]

3n=1878 [divide both sides by 3]

n=626

Now that we know n=626, we also know that the other numbers are 626, 628, 630 respectively.