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Ivahew [28]
3 years ago
9

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

Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0

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

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