Answer:
smallest number=626
middle number=628
larger number=630
Step-by-step 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.
