text: # math
  
  posted by .
  
  when you reverse the digits of the number 13,the number increases by 18.how many other 2digit numbers increase by 18 when their digits are reversed ?
  
  • math -
  
  let the unit digit be x and the tens digit be y
  then the number is 10y + x
  and the number reversed would be 10x + y
  but 10x + y - (10y + x) = 18
  9x - 9y = 18
  x-y = 2
  
  this works for:
  3,1 ---> our given case
  4,2
  5,3
  6,4
  7,5
  8,6
  and 9,7
  
  check 7,5
  if x=7, y = 5
  the original number was 57
  number reversed 75
  and 75 - 57 = 18
explanation: The document contains a math question and a detailed answer to the question. The question asks how many other 2-digit numbers increase by 18 when their digits are reversed. The answer provides a step-by-step solution, identifying all such numbers.
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: # math
  
  posted by .
  
  when you reverse the digits of the number 13,the number increases by 18.how many other 2digit numbers increase by 18 when their digits are reversed ?
  
  • math -
  
  let the unit digit be x and the tens digit be y
  then the number is 10y + x
  and the number reversed would be 10x + y
  but 10x + y - (10y + x) = 18
  9x - 9y = 18
  x-y = 2
  
  this works for:
  3,1 ---> our given case
  4,2
  5,3
  6,4
  7,5
  8,6
  and 9,7
  
  check 7,5
  if x=7, y = 5
  the original number was 57
  number reversed 75
  and 75 - 57 = 18
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and a detailed answer to the question. The question asks how many other 2-digit numbers increase by 18 when their digits are reversed. The answer provides a step-by-step solution, identifying all such numbers.
  
  Label: question-and-answer