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A range of a set of numbers is 30 The highest number in the set is two times larger than the lowest number in the set Which set of algebraic equations will solve for the highest and lowest numbers you?
Wiki User
∙ 12y ago
range = 30 = the difference between the largest number and the lowest number of the set of data
If the lowest number in the set is x, then the larger one will be 2(30 - x).
So we have:
2(30 - x) - x = 30
60 - 2x - x = 30
60 - 3x = 30
60 - 3x + 3x - 30 = 30 - 30 + 3x
30 = 3x
30/3 = 3x/3
10 = x the lowest number
2(30 - x) = 2(30 - 10) = 40 the largest number
Y= high number, X= low number
y-x=30
y=2x
Wiki User
∙ 12y ago
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