Question

The sum of three consecutive even numbers is 228. What is the 3rd number?

Answer 1

74 , 76 , 78

Explanation:

Let the first of your number be x, As you are only looking at even integers, the next consecutive even integer would be x+2 and the consecutive even integer after that would be x+4. The sum of these three even integers results in 228 so we can say that:

`First\ even\ number\ + Second\ even\ number\ + Third\ even\ number\ =228 \\\\x+(x+2)+(x+4)=228`

`x+x+2+x+4=228\\3x+6=228\\3x=228-6\\3x=222\\x=222/3\\x=74\\`

so the first even number is 74 then the second consecutive even number is 76 then the third consecutive even number is 78