# SOLUTION: The sum of the largest and smallest of three consecutive even numbers is 68. What are the three numbers?

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 Question 653256: The sum of the largest and smallest of three consecutive even numbers is 68. What are the three numbers?Answer by Shana-D77(122)   (Show Source): You can put this solution on YOUR website!To generalize three consecutive even numbers, we can write: first number: x second number number: x + 2 third number: x + 4 So, the largest is x + 4. The smallest is x. "the sum of the largest and smallest is 68": x + (x + 4) = 68 2x + 4 = 68 (combined like terms on the left side of the equation) 2x = 64 (subtracted 4 from both sides) x = 32 (divided bith sides by 2) If the smallest number (x) is 32, then the next even number (x + 2) is 34, and the next one after that (x + 4) is 36. check: 32 + 36 = 68 answer: 32, 34, 36