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    HCF and LCM of two numbers are 5 and 210 respectively. If the numbers are between 25 and 40, the sum of the numbers will be :
    Question

    HCF and LCM of two numbers are 5 and 210 respectively. If the numbers are between 25 and 40, the sum of the numbers will be :

    A.

    55

    B.

    60

    C.

    65

    D.

    50

    Correct option is C

    Given:
    HCF = 5
    LCM = 210
    Numbers lie between 25 and 40
    Formula Used:
    Product of two numbers = HCF × LCM 
    Solution:
    Product of two numbers = 5 × 210
    Product of two numbers = 1050
    We need to find two numbers between 25 and 40 whose product is 1050 and HCF is 5.
    Check: 30 × 35 = 1050 and HCF(30, 35) = 5
    Sum of the numbers = 30 + 35 = 65

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