SOLUTION: Find 3 consecutive ODD integers such that the sum of the smallest and largest is 126.

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Question 1172007: Find 3 consecutive ODD integers such that the sum of the smallest and largest is 126.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
, and n is the first of these integers.
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.

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.


ANSWER.  The numbers are  61, 63 and 65.

Solved.



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