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    The HCF of two numbers is 9 and their LCM is 252. The sum of numbers is :
    Question

    The HCF of two numbers is 9 and their LCM is 252. The sum of numbers is :

    A.

    78

    B.

    79

    C.

    108

    D.

    99

    Correct option is D


    HCF=9& LCM=252
    Let the numbers be 9 x and 9 y where x and y are coprime numbers.
    9x×9y=252×9
    x×y=28
    HCF×LCM= Product of numbers Two possible values of (x,y) are (1,28),(4,7) Step-1 - For (x,y)→(1,28), Numbers are (9×1)=9,
    (28×9)=252
    Sum of numbers =9+252=261 step-2 For (x,y)→(4,7) Number are (9×4) and (7×9) Sum of numbers =36+63=99

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