SOLUTION: Find three consecutive integers such that twice the greatest integer is 6 less than 3 times the least integer

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Question 910935: Find three consecutive integers such that twice the greatest integer is 6 less than 3 times the least integer
Answer by lwsshak3(11628) About Me  (Show Source):
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Find three consecutive integers such that twice the greatest integer is 6 less than 3 times the least integer
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let x=least of three consecutive integers
x+1=2nd of three consecutive integers
x+2=greatest of three consecutive integers
2(x+2)=3x-6
2x+4=3x-6
x=10
x+1=11
x+2=12
three consecutive integers: 10, 11, 12