If x:y=7:5, find the ratio (5x-2y):(3x+2y)

• divide throughout by y on right hand side
  let x/y = p = 7/5
  
  (5p-2)/(3p+2) = (5*(7/5)-2) / (3*(7/5)+2)
  = (35-10)/(21+10)
  = 25/31
  so the ratio will be 25:31
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• ans is 25:31
  5x-2y:3x+2y
  35-10:21+10
  25:31
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• 25:31
  
  x/y=7/5
  (5x-2y)/(3x+2y)=y[5(x/y)-2]/y[3(x/y)+2]
  =[5*(7/5)-2]/[3*(7/5)+2]
  =25/31
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• Ans:- 25:31
  
  Solution:-
  
  (5x-2y)/(3x+2y) = 7/5
  35-10 = 21+10
  25 = 31
  
  25:31
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• x/y=7/5 i.e. 5x=7y
  x=7y/5
  5x-2y=7y-2y=5y
  3x+2y=21y/5+2y=31y/5
  so 5x-2y:3x+2y=25/31
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