Two numbers, A and B are such taht a:b:2:3 LCM of a and b is 48. Find a+b?

• The 2 numbers are 2x,3x
  LCM of 2x,3x =48 ---> 6x=48 , x=8
  hence 2x+3x=40
  
• 10 years agoHelpfull: Yes(6) No(1)
• Let the numbers be 2x and 3x
  
  LCM of 2x and 3x = 6x (∵ LCM of 2 and 3 is 6. Hence LCM
  
  of 2x and 3x is 6x)
  
  Given that LCM of 2x and 3x is 48
  
  => 6x = 48
  
  => x = 48⁄6 = 8
  
  Sum of the numbers = 2x + 3x = 5x = 5 × 8 = 40
• 9 years agoHelpfull: Yes(2) No(0)
• The 2 numbers are 2x,3x
  LCM of 2x,3x =48 ---> 6x=48 , x=8
  hence 2x+3x=40
  
• 10 years agoHelpfull: Yes(1) No(1)
• let the 2 no =2x,3x
  we know the formula lcm*hcf=product of 2 numbers
  hcf of (2x,3x)=x
  =>x*48=2x*3x
  =>6x=48
  =>x=8 so the 2 numbers are 8*2=16
  8*3=24
  sum of numbers=24+16=40
• 9 years agoHelpfull: Yes(1) No(0)