SOLUTION: find three consecutive odd integers such that twice the second integer increased by six equals the sum of the largest and three time the smallest integer.

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Question 110493: find three consecutive odd integers such that twice the second integer increased by six equals the sum of the largest and three time the smallest integer.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

Let us name these three unidentified integers , , and , arbitrarily assuming that is the and is the, we may write:
if integer increased by of the integer, we can write:


If is smallest odd number, then


Now we can substitute it here:




….move to the right and to the left
….
….
….

or …. smallest odd number


Check:





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