SOLUTION: A pair of consecutive integers has the property of 7 times the smaller is less than 6 times the greater. What are the greatest such integers?

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Question 770335: A pair of consecutive integers has the property of 7 times the smaller is less than 6 times the greater. What are the greatest such integers?
Answer by Alan3354(69443) About Me  (Show Source):
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A pair of consecutive integers has the property of 7 times the smaller is less than 6 times the greater. What are the greatest such integers?
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x = 1st integer
x+1 = 2nd integer
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7x < 6*(x+1)
7x < 6x + 6
x < 6
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The greatest is 5 & 6