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      Question

      If the ratio between two numbers is 3: 5 and their LCM

      is 120, then the numbers are:
      A 21,35 Correct Answer Incorrect Answer
      B 24,40 Correct Answer Incorrect Answer
      C 27,45 Correct Answer Incorrect Answer
      D 30,50 Correct Answer Incorrect Answer

      Solution

      Let the HCF of two numbers = y Let the two numbers be 3y and 5y. => 3y × 5y = 120 × y ⇒ 15y = 120y ⇒ 15y = 120 ⇒ y = 8 3y = 3 × 8 = 24 5y = 5 × 8 = 40 ∴ The two numbers are 24, 40.

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