SOLUTION: Find three consecutive even integers such that twice the sum of the first and third integers is twenty-one more than the second integer

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find three consecutive even integers such that twice the sum of the first and third integers is twenty-one more than the second integer       Log On


   



Question 700129: Find three consecutive even integers such that twice the sum of the first and third integers is twenty-one more than the second integer
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the consecutive even integers =
+n+, +n+%2B+2+, and +n+%2B+4+
given:
+2%2A%28+n+%2B+n+%2B+4+%29+=+n+%2B+2+%2B+21+
+2%2A%28+2n+%2B+4+%29+=+n+%2B+23+
+4n+%2B+8+=+n+%2B+23+
+3n+=+23+-+8+
+3n+=+15+
+n+=+5+
This didn't work because I', going to get
5,7, and 9 which are odd numbers.
I need to call the smallest number
+2n+ to make sure it will be even
My number are +2n+, +2n+%2B+2+, +2n+%2B+4+
given:
+2%2A%28+2n+%2B+2n+%2B+4+%29+=+2n+%2B+2+%2B+21+
+2%2A%28+4n+%2B+4+%29+=+2n+%2B+23+
+8n+%2B+8++=+2n+%2B+23+
+6n+=+15+
+n+=+15%2F6+
+2n+=+5+
This didn't work either.
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Now that I think about it, the problem has no solution.
It is saying that twice the sum of 2 numbers ( which is even ) is
equal to 21 plus an even number ( which is odd ), and
even cannot equal odd.