Question

Which equation would be used to find three consecutive even integers whose sum is 78

Answer 1

Let n be the smallest integer of the 3, then since all the numbers have to be even numbers, the other two numbers are of the form:

`\begin{gathered} n+2, \\ n+4. \end{gathered}`

Since the sum of the numbers has to be 78, we can set the following equation:

`n+n+2+n+4=78.`

Simplifying the above equation we get:

`3n+6=78.`

Answer:

`3n+6=78.`