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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