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      Question

      The LCM of two numbers is 28 times their HCF, and the

      difference in the LCM and HCF is 405. If the numbers are in the ratio 4 : 7, then find the positive difference between the numbers.
      A 49 Correct Answer Incorrect Answer
      B 45 Correct Answer Incorrect Answer
      C 52 Correct Answer Incorrect Answer
      D 42 Correct Answer Incorrect Answer

      Solution

      Let HCF =x LCM=28x ATQ- 28x-x=405 27x =405 x=15 Ratio of the numbers =4:7 First number =4x and Second number =7x. Positive difference between the number=3x=3Γ—15=45.

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