text: Question
  Sat March 17, 2012 By:
  
  # Divide 243 into 3 parts such that half of the first part,one-third of the second part and one-fourth of the third part are all equal.
  
  Sat March 17, 2012
  let the numbers be x, y , z
  So 1/2 x = 1/3 y = 1/4 z = k
  
  x = 2k , y = 3k , z = 4k
  Also,
  x+y+z = 243
  2k+3k+4k = 243
  9k = 243
  k = 27
  So numbers are x = 54 , y = 81 , z = 108
  Related Questions
  Sun June 04, 2017
  
  # solve for y   :      7y^2 - 6y - 13 sqrt 7 = 0
  
  Sun June 04, 2017
explanation: The document contains a math question and its corresponding answer. The question asks to divide 243 into 3 parts such that half of the first part, one-third of the second part, and one-fourth of the third part are all equal. The answer provides a step-by-step solution to find the values of the three parts.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Question
  Sat March 17, 2012 By:
  
  # Divide 243 into 3 parts such that half of the first part,one-third of the second part and one-fourth of the third part are all equal.
  
  Sat March 17, 2012
  let the numbers be x, y , z
  So 1/2 x = 1/3 y = 1/4 z = k
  
  x = 2k , y = 3k , z = 4k
  Also,
  x+y+z = 243
  2k+3k+4k = 243
  9k = 243
  k = 27
  So numbers are x = 54 , y = 81 , z = 108
  Related Questions
  Sun June 04, 2017
  
  # solve for y   :      7y^2 - 6y - 13 sqrt 7 = 0
  
  Sun June 04, 2017
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding answer. The question asks to divide 243 into 3 parts such that half of the first part, one-third of the second part, and one-fourth of the third part are all equal. The answer provides a step-by-step solution to find the values of the three parts.
  
  Label: question-and-answer