SOLUTION: Find three consecutive odd integers such that the sum of the first, twice the second, and three times the third is 70?

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Question 360166: Find three consecutive odd integers such that the sum of the first, twice the second, and three times the third is 70?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

*Note: consecutive odd integers differ by 2

Le x represent the first odd integer.  

Then (x+2) and(x+4) would be the next two consecutive odd integers



write as we read

x + 2(x+2) + 3(x+4) = 70

Solving for x

6x +4 + 12 = 70

6x = 54

x = 9

three consecutive odd integers are 9, 11, 13

checking our answer

9 + 22 + 39 = 70