SOLUTION: Find the integers. Five consecutive odd integers such that the sum of the first and fifth are one less than three times the fourth integer.

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Question 364208: Find the integers. Five consecutive odd integers such that the sum of the first and fifth are one less than three times the fourth integer.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

Let x represent the smallest of the Five consecutive odd integers

(x+2), (x+4),(x + 6), (x+8 )would then represent the others.

*Note: consecutive odd integers differ by 2

Write as we Read***

x + (x+8) = 3(x+6) -1

solving for x

2x + 8 = 3x + 18 - 1

-9 = x

the Five consecutive odd integers are -9, -7, -5, -3, -1



checking our answer

-9 + -1 = -9 - 1