text: # The product of three integers is 90. The second number is twice the first number. The third number two more than the first number. What are the three numbers?
  
  Oct 25, 2017
  
  $22 , 44 , 24$
  
  #### Explanation:
  
  We assume the first number to be x.
  First number = $x$
  
  "twice the first number"
  Second number = $2 \cdot \text{first number}$
  Second number = $2 \cdot x$
  
  "two more than the first number"
  Second number = $\text{first number} + 2$
  Third number = $x + 2$
  
  The product of three integers is 90.
  $\text{first number" + "second number" + "third number} = 90$
  $\left(x\right) + \left(2 x\right) + \left(x + 2\right) = 90$
  
  Now we solve for x
  $4 x + 2 = 90$
  $4 x = 88$
  $x = 22$
  
  Now that we know what x is, we can plug it in to find each individual number when $x = 22$
  First = $x = 22$
  Second = $2 x = 2 \cdot 22 = 44$
  Third = $x + 2 = = 22 + 2 = 24$
explanation: The document contains a math problem and an attempted solution. The problem asks for three integers whose product is 90, with specific relationships between the numbers. The provided solution, however, incorrectly uses addition instead of multiplication, leading to an incorrect answer.
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: # The product of three integers is 90. The second number is twice the first number. The third number two more than the first number. What are the three numbers?
  
  Oct 25, 2017
  
  $22 , 44 , 24$
  
  #### Explanation:
  
  We assume the first number to be x.
  First number = $x$
  
  "twice the first number"
  Second number = $2 \cdot \text{first number}$
  Second number = $2 \cdot x$
  
  "two more than the first number"
  Second number = $\text{first number} + 2$
  Third number = $x + 2$
  
  The product of three integers is 90.
  $\text{first number" + "second number" + "third number} = 90$
  $\left(x\right) + \left(2 x\right) + \left(x + 2\right) = 90$
  
  Now we solve for x
  $4 x + 2 = 90$
  $4 x = 88$
  $x = 22$
  
  Now that we know what x is, we can plug it in to find each individual number when $x = 22$
  First = $x = 22$
  Second = $2 x = 2 \cdot 22 = 44$
  Third = $x + 2 = = 22 + 2 = 24$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem and an attempted solution. The problem asks for three integers whose product is 90, with specific relationships between the numbers. The provided solution, however, incorrectly uses addition instead of multiplication, leading to an incorrect answer.
  
  Label: question-and-answer