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9th Class Mathematics Number System and its Operations Question Bank Number System

  • question_answer
    The LCM of two numbers is 280 and their ratio is \[7:8\]. The    numbers

    A) 70, 80         

    B)                    54, 68

    C) 35, 40       

    D)        28, 36

    E)  None of these

    Correct Answer: C

    Solution :

    Explanation Option [c] is correct. Let the numbers be 7x and 8x. \[\Rightarrow Their HCF=X\] Now, \[\operatorname{LCM}\,\times \,HCF= Product of numbers\] i.e. \[280\times x=56{{x}^{2}}\,or\,x=5\] Hence, the numbers are 35 and 40.         


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