the lcm of two numbers rs 14 times the their HCF.the sum of lcm and hcf rs 600.if one number rs 80,then the other number is.

• let a and b be any two numbers then,
  a*b= [hcf of (a,b)]*[lcm of (a,b)]
  given
  lcm of a,b= 14(hcf of a,b)
  lcm of a,b + hcf of a,b = 600
  14(hcf of a,b)+hcf of a,b=600
  15(hcf of a,b)=600
  hcf of a,b=40
  
  
  then a*b=lcm * hcf
  since a=80,
  80* b = 14(hcf)*hcf
  80*b=14 (hcf)^2
  we got hcf=40
  b=14*40*40 / 80
  b= 280
  HENCE THE ANOTHER NUMBER IS Rs. 280
• 11 years agoHelpfull: Yes(3) No(0)
• let hcf=x
  then lcm= 14x
  hcf+lcm=600
  x+14x=600
  x=40=hcf
  lcm=560
  as we know
  lcm*lcf=num1*num2
  40*560=80*num2
  num2=280
  
  so second no. is 280
• 11 years agoHelpfull: Yes(0) No(0)