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      Question

      The total and the difference of L.C.M and H.C.F of two

      numbers are 432 and 96. If one of the numbers is 24, what is the other number?
      A 1848 Correct Answer Incorrect Answer
      B 1744 Correct Answer Incorrect Answer
      C 1639 Correct Answer Incorrect Answer
      D 1826 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the L.C.M and the H.C.F of the two numbers be 'a' and 'b' respectively

      Then, (a + b) = 432

      And (a - b) = 96

      So, (a + b) + (a - b) = 432 + 96 = 528

      Or, a = 528 Γ· 2 = 264

      So, b = 432 - 264 = 168

      The product of two numbers is equal to the product of their L.C.M and H.C.FSo, required number = (264 Γ— 168) Γ· 24 = 1848

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