The sum of 5 consecutive even numbers is 216. What is the third number in the sequence

Hello from MrBillDoesMath!

Answer: NO solution possible!

Steps:

Let "n" be the first even number. We are told that

n + (n+2) + (n+4) + (n+6) + (n + 8) = 216

The third number, the value we want, is boldfaced above.

Simplify the above equation:

5n + (2 + 4 + 6 + 8) = 216 or

5n + 20 = 216 or

5n = 196

n = 196/5 is NOT an integer value. This problem, as stated, has no solution.

Regards, MrB