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Home Aptitude HCF and LCM See What Others Are Saying!
  • Question
  • The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?


  • Options
  • A. 63 and 49
  • B. 64 and 48
  • C. 62 and 46
  • D. 64 and 49

  • Correct Answer
  • 63 and 49 

    Explanation

    Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y

    Difference = 14
    => 7x - 7y = 14
    => x - y = 2

    product of numbers = product of their hcf and lcm
    => 7x * 7y = 441 * 7
    => x * y = 63

    Now, we have
    x * y = 63 , x - y = 2
    => x = 9 , y = 7

    The numbers are 7x and 7y
    => 63 and 49

  • Tags: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO

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