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Question

4 times a certain number is as much as less than 60 as 7 times the number is greater than 61.Find the number

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Solution

  1. "4 times a certain number" is rewritten algebraically as 4x
  2. "is as much less than 60" is rewritten that 60 - 4x
  3. "7 times the number" is rewritten as 7x
  4. "is greater than 61" is rewritten as 7x-61
  5. Since the two terms are the same (the second "as"), the two terms can be set equal to one another:
    1. 60 - 4x = 7x -61
    2. 121 = 11x
    3. x = 11 {Answer}

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