SOLUTION: Find the consecutive odd integers such that the sum of the least integer and the middle integer is 49 more than the greatest integer.

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Question 1164377: Find the consecutive odd integers such that the sum of the least integer and the middle integer is 49 more than the greatest integer.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the smallest odd number of these three.


Then the integers are x, (x+2) and (x+4).


The condition requires


    x + (x+2) = (x+4) + 49.


Simplify and find x.


    2x + 2 = x + 53

    2x - x = 53 - 2

    x      = 51.


ANSWER.  The three numbers are  51, 53 and 55.

Solved.