Question 1172007
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Let n be the MIDDLE (central) odd number. then the three consecurive odd numbers are (n-2), n and (n+2).


Our equation has the form


    (n-2) + (n+2) = 126,   or

         2n         = 126,

which implies

            n = 126/2 = 63.


<U>ANSWER</U>.  The numbers are  61, 63 and 65.
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Solved.