SOLUTION: Find three consecutive even integers such that the sum of the second and third is equal to three times the first decreased by 14.

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Question 606688: Find three consecutive even integers such that the sum of the second and third is equal to three times the first decreased by 14.
Answer by asuar010(338) About Me  (Show Source):
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since they are consecutive integers we represent the first number as x the second as (x+1) and the third as (x+3) and by following the problem we can set up the following equation (x+1)+(x+2)=3x-14 which becomes 2x+3=3x-14 which gives x=17 and the three numbers are then 17,18 and 19