Four times a certain number is as much less than 120 as seven times the number is greater than 102. Find the number
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Answer:
"4 times a certain number" is rewritten algebraically as 4x
"is as much less than 60" is rewritten that 60 - 4x
"7 times the number" is rewritten as 7x
"is greater than 61" is rewritten as 7x-61
Since the two terms are the same (the second "as"), the two terms can be set equal to one another:
60 - 4x = 7x -61
121 = 11x
x = 11 {Answer}
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