Question 833352: the greatest of four consecutive integers is equal to five less than three times the smallest of these integers. What is the value of the greatest of these consecutive integers?
Answer by Leaf W.(135)   (Show Source):
You can put this solution on YOUR website! Hi!
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Since the four integers are consecutive, let us call them x, x + 1, x + 2, and x + 3, where x + 3 is the greatest integer and x is the smallest.
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As we know that "the greatest of four consecutive integers is equal to five less than three times the smallest of these integers," we can make the following equation:
greatest integer = 3*(smallest integer) - 5
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Now plug in the variable expressions that we came up in the first step:
x + 3 = 3x - 5
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Now solve for x:
x + 8 = 3x
8 = 2x
2x = 8
x = 4
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Since the greatest integer x + 3, just plug in 4 for x: 4 + 3 = 7.
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Therefore, the value of the greatest of the consecutive integers is 7.
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I hope this helped!
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