SOLUTION: Find three consecutive integers such that the sum of the first and twice the second is 17 more than twice the third.

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Question 177663This question is from textbook intermediate algebra
: Find three consecutive integers such that the sum of the first and twice the second is 17 more than twice the third. This question is from textbook intermediate algebra

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Consecutive integers system%28x%2Cx%2B1%2Cx%2B2%29
Condition:
x%2B2%28x%2B1%29=17%2B2%28x%2B2%29
Continuing,
x%2B2x%2B2=17%2B2x%2B4--->x%2Bcross%282x%29%2B2=17%2Bcross%282x%29%2B4
x=17%2B4-2=highlight%2819%29, 1st number
19%2B1=highlight%2820%29, 2nd number
19%2B2=highlight%2821%29, 3rd number
In doubt? Go back to the condition:
19%2B2%2820%29=17%2B2%2821%29
19%2B40=17%2B42
59=59
Thank you,
Jojo