Are not all integers spaced out to be odd then even then odd then even etc (eg 1,2,3,4,5,6,7,8,9,10, etc) and therefore there is no such thing as two consecutive odd integers.
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The two odd integers are 57 and 59.
There are two consecutive odd integers whose sum is 176. They are 87 and 89.
The integers are 47 and 49.
The integers are 15 and 17.
No possible solution.The sum of any two odd integers is an even integer.