SOLUTION: the sum of two consecutive odd numbers is 46. what is the equation?

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Question 1095369: the sum of two consecutive odd numbers is 46. what is the equation?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
n%2B%28n%2B2%29=46, literally according to the description; n is for the smaller of the numbers. Not good as written.

Try the numbers this way for two consecutive ODD integers:
2n%2B1 and 2n%2B3.

The description's literal translation is %282n%2B1%29%2B%282n%2B3%29=46.
Solve for n and evaluate the two expressions.
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2n%2B1%2B2n%2B3=46
4n%2B4=46
4n=42
2n=21
n=NonWholeNumber
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NO SOLUTION
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Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
the sum of two consecutive odd numbers is 46. what is the equation?
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        The correct answer consists of these two statements: 

    1.  The problem HAS NO solutions in consecutive  odd integer numbers;

and

    2.  There are NO such two consecutive odd integer numbers whose sum is 46.


Indeed,  n + (n+2) = 46  implies  2n = 46- 2,  or 2n = 44,  n = 44%2F2 = 22,  which is EVEN  integer number.