. The difference of two numbers is 15. The LCM and HCF 180 and 15 respectively. Find the numbers.

• Let one number be X then other number will be x+15
  
  as we know that lcm×hcf=product of those numbers
  
  180×15=X(x+15)
  2700=x^2+15x
  x^2+15x-2700=0
  x^2 + 60x - 45x - 2700 =0
  X+60 = 0
  x-45=0
  X=45
  One Number = 45
  other number = 60
  it will not be 15 and 30 as the l.c.m of 15 and 30 will be 30
  
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• 4 years agoHelpfull: Yes(4) No(0)
• LCM*HCF=multiplication of two number
• 4 years agoHelpfull: Yes(1) No(0)