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Question 712591: pls answer it..thanks
The sum of 4 consecutive even number is 212. Find the 4th number
Answer by DrBeeee(684)   (Show Source):
You can put this solution on YOUR website! You need to know how to represent consecutive even or odd numbers, then it's easy to solve.
Let n = the first even number
Then the next consecutive even number is n+2, and the next is n+4 and the fourth is n+6.
Now let's add them up and set the sum equal to 212 and get
(1) n + (n+2) + (n+4) + (n+6) = 212 or
(2) 4n +2 +4 + 6 = 212 or
(3) 4n = 212 - 12 or
(4) 4n = 200 or
(5) n = 50
Let's check using (1)
Is (50 + 52 + 54 + 56 = 212)?
Is (212 = 212)? Yes
Answer: The four consecutive even numbers are 50, 52, 54, and 56. The 4th number is 56.
PS Do the same if they are consecutive odd numbers. The problem statement will automatically get the odd sequence as it did above for the even sequence.
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