The LCM of two numbers is 28 times of their HCF. The sum of their LCM and HCF is 1740. If one of the

The LCM of two numbers is 28 times of their HCF. The sum of their LCM and HCF is 1740. If one of the numbers is 420, the other number is

  1. 150
  2. 225
  3. 180
  4. 240
  5. None of these

Solution:

LCM = 28 HCF
LCM + HCF = 1740
=> 28 HCF + HCF = 1740
HCF = 1740/29 = 60 and LCM = 28X60
if a and b are two numbers, then
LCM of (a & b) X HCF of (a & b) = aXb
28X60X60 = x X 420 = > x = 240

So, the other number is 240

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