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):
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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:
