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The $\text{L.C.M.}$ of two numbers is $45$ times their $\text{H.C.F.}$ If the sum of the $\text{L.C.M.}$ and $\text{H.C.F}$ is equal to $1150$ and one of the numbers is $125,$ the difference between the numbers is equal to :

  1. $100$
  2. $200$
  3. $225$
  4. $115$
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